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LIBRARY
OF THE
UNIVERSITY OF CALIFORNIA.
Class
TABLES
LIFE CONTINGENCIES.
mum at stationm* mm.
TABLES
LIFE CONTINGENCIES j
I I . N I A I M S < •
Till: RATE OP H0RTALIT1 UIONG THE MEMBERS OF
THE EQUITABLE SO< II IV
The Valines of Life Annuities, Reversions, §-c.
( oMl'l 111" llll.KLl UO.M
TOSBTHBB WITH A MORE KXTBBUY1 MALR ok
PREM1T MS FOR LIFE ASSURANCES,
DEDICEI) HtiiM III)
Xortfiampton Bate of i«ortalitp,
THAN ANY HITHERTO PUBLISH] D
\M> 1 III
PROGRESS!! I. \ Ml ES OF LIFE POLICIES
im wnOLI < \i;khm.I.v CALCULATED, ARRAMOBD IN a MM*
i I.I.I II KAI ED Bl PS \AM1'I.I B,
li, GRIFFITH DA VIES,
U ii \m r«. Tin QtUBDUN ISSUBANCI COMPANY'
Uonoon :
KoAicm, Hrovkt, ami Co. I'rxntrrt, AUhuriK ljx»e.
90 mi A0TBOB,
PATBRNOSTBB BOW, AMD J. M. B1CHAB1 >.miiii
IBS
s
INTRODUCTION
In offering this Tract to the attention of tin- Public,
the Author deems it necessary to state, that the Rate
of Mortality among the members of the Equitable
Society has been deduced from the accounts given
l»\ Mr. MORGAN, in his Addresses to the general
Courts of that Institution, and in the Notes added
l»\ him to the latter editions of Dr. Price's Obser-
vations on Reversionary Payments, [nhis Address
to the general Court, held on the 24th of April, 1800,
Mr. Morgan stated, that the decrements of life
among the members of the Equitable, for the pre-
ceding 30 years, had been to those expressed by
the Northampton Table
From the age of
10 to -20
;is
1
to
■j
20 to 30
as
1
to
•j
30 to 40
as
3
to
•->
40 to 50
as
3
to
•'>
50 to <;<>
us
•'»
t..
7
<;<» to ho
as
4
to
5
And in the \ot«-> added to Vol. I. of Dr. PbH I -
Observations on Heversioiiar\ Paj Clients, ( Edition 7)
VI INTRODUCTION.
pages 182, 183, and 192, he states, that the same
proportion between the decrements of life among
the members of the Equitable Society and those
expressed by the Northampton Table, had con-
tinued up to the year 1810, embracing a period of
more than forty years. His Addresses delivered in
December 1816, and March 1825, further confirm
that the decrements of life had, up to those periods,
still continued the same, or to bear the same ratio
to those in the Northampton Table as he had pre-
viously represented. Granting these statements to
be correct, it must therefore be concluded, that the
rate of mortality among the members of the
Equitable, for a period exceeding half a century,
must have continued the same as that represented
by Mr. Morgan in the year 1800.
These observations being premised, let us conceive
two communities formed , the one subject to the law of
mortality expressed by the lirst Table in this Tract,
the other to that represented by the Northampton
Register ; then, if the decrements of life in these two
communities bear to each other the proportions
already stated, the accuracy of the former Table
will be rendered obvious.
Hence, supposing the first of these communities
to be formed by the admission of 2844 new settlers
of the age of 10, at the beginning of each year,
for any period not less than 10 years, and none to be
iMittmn iki\ mi
n-mowd from M except l>> dt-atli, it JSilIIMlifrfef that
.ii tin- beginning of an> year there w <»ul(J be living
| , | | K) juM.dml.t, | |
OOQf) II I «nrvlvor» oJ those id-( 1 1
XO.>.> II , nuited tli<-vt.u beC.rc ] l '
2822 — I- :'lU - f**nk0*n \'l —
2810 —
13
:i
12
2798 —
l 1
4
1:;
•1 i\\:>
l.'i
5
1 1
•J77I
10
ii
15
•J7')<i —
17
7
10
21 10
10
8
17
2703
1!)
Q
18
27882 l>< tween n» and -20 139
and comparing the Dumber of deaths during the
year, with that of the living at the beginning of the
year, it appears thai in a community subject to the
law of mortafitj represented bj Table I, one would
27882
die annual!} <>nt <»t 200.59.
Proceeding in Like manner with the iumbecs
Living and decrements m Table \. it will be found
thai in a l oinmuiiit \ subjf <i in tin law ol' mm talilv
oqpgessed l»> tin- Northampton Tablet •">!;; psssonaj
I * . T \ \ t « 1 1 10 and 20, would die aninialh, out
G 111 1
.'.111 1, or on,- out "I . = 100.265.
Then comparing these results, it appears that tin
mortality in the former community would l»» to thai
of the Latter aa 100.265 is to 200.59, si a« I t©2.
Vlll INTRODUCTION.
By the same mode of reasoning it may be shown,
that the decrements of life represented by Table 1,
in the succeeding intervals from 20 to 30, 30 to 40,
&c, are to those expressed by Table x in the
respective proportions already stated.
The identity of the rate of mortality expressed
by Table i, and that which obtained among- the
members of the Equitable, being thus shown, the
mode of forming that Table is reserved for a more
extensive Work on the subject, which the Author
has for some time been conducting through the
Press. This Work, which is nearly ready for pub-
lication, contains A New Theory of the Doc-
trine of Annuities and Assurances, inter-
spersed with Practical Observations, and more than
double the number of Tables contained in this
Tract.
In calculating and checking these Tables, the
Author has been materially assisted by Mr. Jonas
Holbut, Actuary of the Reversionary Interest So-
ciety, and Mr. Thomas Parry, of the Hope Assur-
ance Office ; also by Samuel Ingall, of the Imperial
Life Office, and David Jones, of the Royal Ex-
change, both young men of promising talents and
indefatigable perseverance.
GUARDIAN OFFICE, 11, Lombard Street,
29th December, 1825.
c
iivattital KxmmUfi
ILLl'STKATIVI 01
THE APPLICATION OF THE TABLES.
K\ \Ml>LE I.
What is the present value of £50 annuity on a life
<>t' i'», estimating the interest Of money at t per
(tut., mid the average duration of hrnaaii life by
the rate <>f mortality among the members of the
Equitable '
B\ Table u, opposite the age of 40, in the 4 per
Cent, column, the present value of fl annuity on
the proposed life i- found to !»<• 14.9390, and this
multiplied bj •"*<>, the given annuity, produces
I 1.989 50 : 746.95 = t'7 Hi 19s the answer.
If the rate of mortality be estimated bj the
Northampton Table, the presenl value of the pro-
posed annuity, found in 1 ik«- manner f>> Table \iv,
is I3.1974> 50 659.87 = £059 17> 5d. This is
the value at which Governmenl would estimate
Ruch annuity, in the assessment oflegacj duty.
I.
ILLUSTRATION
Example ii.
What annuity should be granted for £100 on a
life of 70, allowing the purchaser 3^ per Cent, for
his money, and estimating the rate of mortality by
the experience of the Equitable ?
By Table n, opposite the age of 70, in the 3^ per
Cent, column, the present value of £l annuity on
the proposed life is found to be 7.3894 : hence di-
viding the sum to be sunk (100) by the value of £l
annuity on the life proposed (7.3894), we have
100-^-7.3894 = 13.533 = £13 10s 8d, the answer.
If the annuity be payable half-yearly, the divisor,
taken from the Table, ought to be increased by .25 ;
if quarterly, by .375 ; or, if continued up to the day
of death, by .5. Thus on the life proposed for
£100 sunk, the annuity to be granted
If payable half-yearly, is _ 3094 , 05 — £^^ 1 10
100
or, if payable quarterly ^3894 + 375
= £12 17 7
Example hi.
What is the present value of £100 annuity on a
life of 40, allowing the purchaser a clear interest of
5 per Cent., beside the premium necessary to secure
the repayment of his capital, by a life assurance ef-
fected at the rates charged by the Equitable society ?
01 rut i ai'.i.i 5. , \i
\\\ TaMr III. 0ppOSfa tli. i_, Ot 1<>. UDSV 1 •") |.< I
( i iit.. tin- required value rn yews1 purchase •>
rouiid to be IU6&6, from vhich it toll<>u>. thai
11. i>">h" x loo produces fi 125 12», Ihe answer;
In tlits, cases, if the annuitj be payable yearly,
the -urn to !»«• insured mihi exceed the purchase
monej by one year's annuity, in order to cover the
first year's premium payable in advance, before anj
amiiiin becomes din-, ami the las* year's interest
remaining unpaid alter the annuity ahaU have
ceased.
IX \M I'LL 1\ .
\\ liat aimuitx should be required for an affefaao
of £5000, to the tenant for life of an entailed estate^
allowing the grantee a net interest <>i 5 per Cent.,
beside 1 1 1 1 - premium oecessarj t<> secure the repay-
ment of ihe capital advanced, by a life assurance
effected at the rales charged bj the Equitable
society, supposing the grantors age to !>«• J" next
l.irth da\ '
This, being the converse of the la>t Example,
ma\ l)» solved bj dii tding the £5000 l>\ the number
taken from Table in, ander 5 per Cent., opposite
tli, given age : or, somewhat easier, bj multiply ing
Um number standing opposite the proposed
under the given rate in Table rv, by the number
oi £100 in tin- Bum t" be advanced.
Tnos, bj tin tettei mode. 8.884 x.r>(»- 1 14,900
- t'4 J i i-. the answer.
I. _>
XU ILLUSTRATION
On the supposition of the annuity being payable
yearly, and ceasing with the last payment becom-
ing due prior to the grantor's death, the observation
made on the last Example is equally applicable to
the present.
Example v.
What is the present value of £100 annuity de-
pendent on the joint lives of two persons aged 40 &
50, (that is, an annuity ceasing with the last pay-
ment becoming due prior to the first death) esti-
mating the interest of money at 5 per Cent., and
the rate of mortality by the experience of the
Equitable ?
Referring to Table v, and looking for the older
age in column first, and for the younger age in the
second column, we find under 5 per Cent, that the
present value of £l annuity on the proposed lives is
9.6700; hence 9.6700 x 100 = £967, the answer.
Referring in like manner to Table xv, we find the
value of a similar annuity according to the North-
ampton Table, at 4 per Cent., - 8.834 x 100 =
£883 8s, on which sum duty would be charged on
the annuity proposed, if bequeathed as a legacy.
If the ages of two persons be not equal, or do not
differ by 5, 10, 15 &c. years, the value of an an-
nuity on their Joint Lives cannot be found direct
from these Tables ; but such value may be approx-
imated by the following
OK THE TABU - Mil
Rule. — Look for the older age in tin- first
column, and from tin- Table, under the given rate,
extract the two numbers standing opposite those
_ - in the second column between which the
of the younger lite happens to fall : then from th<
greater <>t these numbers Bubstract, or to the less
add. as mans fifths of their difference as are equal
t<» the number of years contained between the age
opposite that number and the age of the younger
life.
Thus, let it be required t<» find the present value
of £ I annuitj dependent on the joint lives of two
persons aged IT & 34, reckoning interest at 4 per
Cent., and the rate of mortality l>y the experience
of the Equitable !
Referring t<> Table v, and looking for the older
. 47. in tin first column, we find the younger age,
34, falling between :>-2 & .'57, and differing 2 years
from the former, or :; years from the latter. Then
mi rring to the 4 per Cent, column, we find
tin present value of t'l annuity on thi
joint lives of 17 & :)•> - -
ditto on the joint lives of 47 & 37 - - =11.2362
the!
| = 11.5235
difference ----- .2873
2-5thsof tln< dill, rence taken from the former, or
3-5thsof it ;\<\i\n\ to the latter, gives 11.4086 for
the present value of the annuity proposed ; and if
instead of t'l, the annuity given l>e t'<;<>. its present
i dm is I 1.4086 60 £684 10s Id.
XIV ILLUSTRATION
Example vi.
What is the present value of £120 annuity, pay-
able during the joint lives and the life of the sur-
vivor of two persons aged 40 & 50 ; estimating the
improvement of money at 5 per Cent., and the rate
of mortality by the experience of the Equitable ?
The value of £l annuity on this contingency
cannot be found direct from these Tables, but such
value is correctly obtained by the following
Rule. — From the Single Life Table extract the
value of £ I annuity on each of the proposed lives
taken separately, and from their sum deduct that of a
similar annuity on their joint existence, found as
directed in the last Example.
Thus by Table n, £l annuity on a life") _ ^^
of 40 is, at 5 per Cent., - - - - J
ditto on a life of 50 =11.4017
their sum 24.6764
And by Table v, £l annuity on the joint") _
lives of 40 & 50, at the like rate - J
difference 15.0064
which represents the present value of £l annuity on
the contingency proposed : that of £120 annuity is
therefore = 15.0064 x 120= 1800.768 = £1800 15s 4d
the answer.
OF fHE TABLES \\
Ex kMPLl Vl\
\\ liai consideration should l>c required of a per-
Bon aged 25, for a Deferred Annuity of £50, to
commence at tin age of 6*0, and t<> he made payable
1»\ balf-yearl) instalments during the remainder of
life ; estimating the interest of money at :>[ per
( ent., and the average duration <>f human life
according to the rate of mortality among themem-
1)» re of the Equitable '
1>\ Table vi, opposite the age <>f 25, and in the
column headed 00, the present ?alue of t'l annuitj
payable as proposed, is found t<> be l.J>79. Hence
»x 50 = i»;].j)"i= £93 198, the answer.
Example mii.
What annual premium should Im- required of a
personaged •!■'>, fora Deferred Annuity of t'"><>, to
commence at tin- a^e of (jO, and to l>e made payable
by Ji;ilt-\< url\ instate nt-. duimg the remainder of
lit'.- ; estimaiiagflhe anpraaeaaenJ of mane] si ■>[ per
Cut.. ;iiid the average duration of human life l»\
the rate of mortality anions; tlie i i 1 1 • i i i I »« i> of the
Equitable; also supposing tin required premium
lobe payable at the beginniag of each year, until
tli«- annuit] commenoas, psjevided the assigned life
SO Inn- sun i\. - '
XVi ILLUSTRATION
By Table vn, opposite the age of 25, and in the
column headed 60, the premium for £l annuity,
payable as proposed, is found to be .1051.
Hence 50 x .1051 =5.255= £5 5s Id the answer.
The Tables referred to in these two Examples
will be found exceedingly useful to societies formed
for the purpose of providing annuities for old age,
and not less important to persons disposed to join
such societies, to enable them to judge as to whether
the rates charged be adequate to answer the purpose
intended.
Example ix.
What present payment should be required of a
man aged 40, for a Survivorship Annuity of £50
to his wife, aged 35, in the event of her surviving
him ; estimating the interest of money at 3^ per
Cent, and the rate of mortality by the experience
of the Equitable ?
Referring to Table viii, and looking for the
wife's age (35) in the first column, and that of the
husband (40) in the second, we find in the next
column, the present value of £l annuity on the pro-
posed contingency = 3.9608 ; hence 3.9608 x50 =
198.04 = £l98 0s lOd the answer.
If only one, or neither of the given ages can be
found in the Table, the value of a survivorship
annuity may be approximated by the Rule given in
page xiii.
Thus, supposing the husband's ag< to i»< 13, ami
thai of the \\ it. 35, \\«' have the present ralue <»i fi
per annum to a person of
35 after the demise of another aged 15 = 4.7001
— 10 = :}.!h;oj{
differi act — — — .7393
2-5ths of tin- difference taken from the upper num-
ber, or 3-5ths of it added to the lower, gives 4.404 1
i<»r the pn -.nt ralue of fi annuity to a person of
• i'j. alter the demise of another aged 4:3. The
present ralue of £50 annuity on the same contin-
gency, ia therefore = 1.4044x50 = 220.22 =
£220 4a 5d.
A-ain, snppoM- the Im-Uind'a age to be 43, and
the w if.- age 37 .
H. pe neither of the agea ia found in the Table,
but, proce< 'Mil- a- above, the value of t'l annuity
to ;i person of
ifter the demise of 43 is - - - - 1. 1044
1" — I! ;i.7fi!>!>
difference - - .0345
•_' 5the ot" tin- difference taken from the former
ralue, or 3-5the ofitadded to the latter, prodm
\.\'><»> tor the approximated ralue of fi annuity
on tie- contingency proposed. That of 650 annuity
i- therefore = 1.1506 50 -jot .53= t'-Jn; 10a 7.1
XV111 ILLUSTRATION
Example x.
What annual premium, payable at the beginning
of each year, should be required for a Survivorship
Annuity of £50 on a life of 35, to commence at the
extinction of another life now aged 40 ; reckoning
interest at 3^ per Cent., and the rate of mortality
by the experience of the Equitable ?
Referring to Table viii, and looking for 35 in
the column designated age of A, and for 40 in that
headed age of B, we find the annual premium for
£\ annuity on the proposed contingency = .28256.
Hence .28256x50 = 14.128 = £14 2s 7d, the
answer.
If only one, or neither, of the given ages be
found in the Table, the annual premium may be
approximated by the method explained in the
last Example.
The value of a Survivorship Annuity for what
may remain of an assigned life A, after the extinc-
tion of another life B, may also be computed by
the following
Rule. — Deduct the value of £\ annuity on the
joint lives of A & B, from that of a similar annuity
on u4's life, and the remainder, multiplied by the
given annuity, will be the required value in a single
payment.
01 I'M l rABLBfl \l\
Divide the single payment l>> tin present ralue
of t'l a ii mi it n on tin- joint 1 i\ » — increased bj unity,
and the result will l><- the equivalent annual pre-
innini.
\]\ IMPLE XI.
What is tin* present value of tin- Reversion to
60000, to be received at the end of the yeaf in
which an assigned lit*- of 70 ma) happen to tail;
estimating the improvement of monej al •** per Cent.
and the average duration of human lift- by the rate
of mortality among the members of the Equitable?
T>\ Table i\. oppo-iir the age <»f 7<>, in tin- o per
< • nt. column, the presenl value of t*i receivable on
the- proposed contingency, is found to be =.69077.
That al £6000 is therefore - 6000 ■ j63077 =
MM= 63784 ISs Sa\ the answer1.
Here the Reversion is supposed to be receivable
at tin- end of tin- year in which the assigned life
may happen to tail, nor can we in practice expect,
that on an average of a number of Reversions, the
proceeds will become available at a shorter period
than that included between tin- death of the part]
and the end of the year in which that event ma\ hap-
pen. N< rerthel< bs if urn gard a number of p< rsons
dying in the same year, some about th<- beginning,
some about the middle, and others towards the end,
the averagi period of death must be reckoned
XX ILLUSTRATION
about the middle of the year ; it is therefore mani-
fest, that if the Reversion be receivable immediately
after the extinction of the life proposed, its present
value must exceed the result deduced by Table ix,
by about half a year's interest computed thereon.
Thus the present value of the Reversion proposed,
supposing it receivable immediately after the death
of the party, is about 3784.62 x 1.025 = £3879 5s.
The present value of the Reversion to £l receiv-
able on the extinction of any assigned life, or on
the extinction of the joint existence or last survivor
of two lives, may also be computed by the following
Rule. — Multiply the present value of £l an-
nuity on the proposed contingency by the interest
of £l for one year, and deduct the result from
unity ; then divide the remainder by the amount
of £l in one year, if the Reversion be receivable at
the end of the year in which the assigned life or
lives may fail; or by the amount of £l in half a
year, if the Reversion be receivable immediately
after the extinction of the life or lives proposed.
Thus, suppose two lives aged 40 & 50 were pro-
posed, the interest of money reckoned at 5 per
Cent., and the rate of mortality estimated by the
experience of the Equitable?
The present value of £l annuity on their joint
existence, found as directed by Example v, is
.9.6700 ; hence the value of the Reversion to £l re-
01 THE l IBL1 - \\i
ceivable at the end <>f the year in which their joint
i Kistence may happen i<> tail is
I -.05 x 0;67
= =-, ,. - =.491905.
1 .05
Hut if the Reversion be receivable at the middle
of that s«;ir. its present value is
1-05 9.67
1-025
= •503902.
Again, the present value of t'l annuity payable-
until the extinction of the Last survivor of the
lives, foundby Example vi, is 15.0064.
The present value of the Reversion to t*i receiv-
able at the end <>t" the year in which the la>t sur-
\ ivor i>ia\ happen t<» fail, is therefore
I -•()-> .< 150064
= •23779
105 ->"••
And if the Reversion be receivable at the middle
of that year, it> present value is
1-05 15.0064
— = *24359.
1025
The present value of the Reversion to £l receiv-
able either ai the end, or the middle of the year in
which an assigned Life or lives ma] fail, being thus
determined, that of an) other sum is obtained l>\
multiplying the result bj the amount of Reversion
proposed.
Thus, estimating the intere I of money, and the
rate of mortalit) as above, the present value of
£1000 to be received at the end «.t the year in
w Inch the first <>f i\\" assigned Lii fed 40 &
XX11 ILLUSTRATION
may happen to fail, is .4.91905 x 1000 = 491.905
= £491 18s Id.
And if the Reversion be receivable immediately
after the extinction of such life, its present value
may be estimated = .503902 x 1000= £503 18s.
Example xii.
Suppose a society of 500 persons of the age of
20 years, 700 of the age of 30, 900 of the age of 40,
800 of the age of 50, and 600 of the age of 60 ; it is
required to determine the number of deaths which
may be expected to happen in the year, according
to the Northampton rate of mortality ?
Here, multiplying the number living at each age,
by the proportion which may be expected to die
during the year, as given opposite that age in
Table xii, we find the number of
Deaths out of 1st class = 500 x .014030 = 7.015
ditto - 2nd — = 700 x .017104 = 11.973
ditto - 3rd — = 900 x .020908 = 18.817
ditto - 4th — = 800 x. 028351 =22.681
ditto - 5th — = 600 x .040235 = 24.141
Total = 84.627
or nearly 84 and 6- tenths for the number required-
The fraction, though inapplicable to an indivi-
dual, denotes that out of 10 times as many persons
living at each age, 846 deaths might be expected
to happen within the year.
oi mi i Mil i b. xxm
Were an Office, calculating its premiums from
the Northampton Table, to classify the lives <>n
w hi< 1 1 insurances are effected according to their
respective dates of birth, the number of deaths
provided for in an) year might •><• determined in
Like manner.
E\ VMI'LF. Mil.
\\ hat annual premium should l>e required for the
assurance of £700 on a Life of l<>, estimating the
improvement ofmonej at .*> per Cent., and the rate
of mortality l»\ the Northampton Table 1
Bj Table \\n. opposite the given age, and in
the column headed Life, the annual premium for
£ 100 is found to be £3 7s I Id. That for £700 is
therefore, in the same proportion, =(£3 7a lld)x7
= £23 i">- 5d, the answer.
Otherwise, b) Table xvi, the annual premium
for the assurance «»t' t'l <>n the age proposed is
.033875, that for £700 is therefore =700> .033975
=23.7825 = t":2:$ L5e tid, differing 3d from that
found above, on account of the premium per Gent,
being calculated to tin- Dearest pennj .
\_ mi. suppose it were required t<» determine the
single present payment, which would be charged
for t be Assurance aboi e pr posed !
Bj Table win. opposite the given age, and in the
column headed i payment, the premium per Cent,
is found to be £53 10b LOd. Sence L*-">:5 10s lOd
L'i7(» 17- i<»<| the answer
XXIV ILLUSTRATION
Example xiv.
What annual premium should be required of a
person aged 50, for securing- to his survivors £500,
in the event of his dying within the next 7 years ;
estimating the interest of money at 3 per Cent.,
and the rate of mortality by the Northampton
Table ?
By Table xvn, opposite the age of 50, and in
the column headed 7 years, the annual premium
for £100 is found to be £3 0s 8d. That for £500
is therefore (£3 0s 8d) x5 = £15 3s 4d, the answer.
The annual premium for securing a sum payable
in the event of an assigned life (at any age from 14
to 62) failing within 1 year, 4, 7 or 10 years, may
be found in like manner by the same Table.
And if an insurance be proposed for any other
term not exceeding 10 years, the premium may be
approximated as follows :
Thus suppose the insurance were proposed to be
effected for 5 years on a life of 45.
Opposite the given age we find
The premium per Cent, for 7 years = £2 10 10
ditto for 4 years =284
difference for 3 years - - - - 2 6
one-third of which is - - - 10
which being added to the premium for 4 years,
gives £2 9s 2d for the approximated premium per
Cent, for the assurance proposed.
OF THF TABLE*. \'XV
Example w.
Suppose a person of 40 desirous of securing
£1000 to his survivors at bis death, whenever that
event maj happen, and not wishing to encumber
himself with the payment of an) premium after the
ag< of 50; 11 is required to determine what annual
premium payable for the next ten y< ars but subject
t" cease sooner it' the life drop in the interval)
should be required for such insurance; estimating
the interest of money at :i per Cent., and the rate of
mortality by the Northampton Table?
By Table xviii, opposite the given age, and in
the column headed 10 payments, the annual pre-
mium per Cent, is found t<> be t"o" 14s ih\. The
premium for £1000 in the same proportion is there-
fore - £6 14s 9d < H) = £67 7s 6d; the answer.
El \MI'I.F. XVI.
\\ hat annual premium shonld be required for
urinir the p;i\ incut <>t' t'ooo on the extinction of
the joint li\«--«»t' two persons aged i<» ,\ 60, esti-
mating the interest of money at :) per Cent., and
the rat.- of mortality by the Northampton Table \
R< i, rring t<» Table \i\, ami tanking tor the older
m the tir-t column, ami for the younger age in
thesecond, opposite the latter, th( annual premium
per Cut. i- found to be t'<; 10s 7<l. Hence
f£(j ](>v 7.1 ■ B £69 J^ Bd, the answer.
d
XXVI ILLUSTRATION
Otherwise, the annual premium for the assurance
of £l on the proposed contingency, found as before,
in the fifth column is .06530, from which that for
the assurance of £800 is .06530 x 800 = 52.240 =
£52 4s 9d, nearly the same as before.
The single premium for the same insurance, found
in like manner from the fourth column, is .69155 x
800 = 553.240 = £553 4s 9d.
If the ages be not equal, or do not differ by 5, 10,
15, &c. years, the premium cannot be found direct
from these Tables, but may be approximated by
the Rule given in page xiii.
Thus, if the ages proposed be 50 & 37, we find
the premium per Cent.,
On the joint lives of 50 & 40 - - = £6 10 7
ditto 50 & 35 - - = £6 5 0
difference -------- — £o 5 7
2-5ths of this difference being added to the premium
for the assurance of £100 on the joint lives of 50 &
35, gives £6 5s Od + 2s Id = £6 7s 2d for the pre-
mium per Cent, on the contingency proposed, from
which the premium for the assurance of any other
sum on the same contingency may be determined.
Example xvii.
What annual premium should be required for
securing the payment of £1000 on the extinction of
the last survivor of two persons aged 40 & 50 ;
of mi i ami.es. *xvu
estimating the improT< menl of monej nt :; per I Sent.
and the rah' of mortality l>> the Northampton
Taldr?
K< ferriog te Table w. and teaking the older agp
in tii, him . -mImiuii. a, id tin- younger in the wound,
the annual premium |m r ( nil. I. mud m tin iu\t
colutDl i- t- ffe .''<!. Henee, Li Be 9d • i<» =
t j i :> fid, the answer.
It n j proposed l>< n..t . .ptal. or da not
differ b} 5 years, or Bome multiple <>t •">. the pre-
iniuui annual nr -ui-lr m:i\ Dti approximated as
directed in tin* last K\ampl<-.
I \ \ M I'l I X \ III.
\^ h;it annual premium should be required for tin-
assurance of £2000 payable in the eVenl of an
assigned life aged 1<». foiling before another aged
.")(»: estimating the improvement of raone} at 8 per
Cm., and tli.- rat.- of mortalitj by the Northampton
Table !
Referring to Table wi, and looking for tb<
of the lii'<- to l»«- insured in the first column; and that
of tin- lit.- against which 1 1 • • - assurance is i<» !><•
effected in the second, the premium per Cent, w
found I.- I»« £2 12a 6cL Heno £2 L2s 0d) x
20 := t'-VJ 10s, thfi an-w. i .
If the age against which the insurance is t<» l»<-
effected, be ne4 found m the Table, the premium,
(annual or -inul' maj !>•• approximated l'\ the
Hul. gh en in page xiii.
<i -j
xxvu1 illustration
Example xix.
Suppose an Insurance for £J00, effected 10 years
ago, on a life then aged 40 ; it is required to find the
value of the Policy, the renewal premium being just
due but not paid ; estimating interest at 3 per Cent.,
and the rate of mortality by the Northampton Table ?
By Table xxn, opposite the age of 40, and under
10 years, the required value is found to be 15.2177
£15 4s 4d the answer.*
This sum is what an Office, calculating its pre-
miums by the Northampton 3 per Cent, might return
to the assured on the surrender of the Policy, and
still retain to itself out of the premiums received a
fair compensation for the risk sustained. Few of the
Offices however do allow the values thus determined
for the surrender of their Policies, but in the calcu-
lation of their outstanding risks at their general
valuations, this method is generally adopted. The
reserve thus made for each Policy and the future
premiums to be received thereon, together con-
stitute an equivalent to the increased premium,
which would be charged at the present age for re-
insuring the like sum on the same contingency.
• Some years ago, the Author of this Tract performed the arduous task of calcu-
lating (from the Northampton rate of mortality, at 3 per Cent.) an extensive Table,
showing, by inspection, the value of a Policy for the assurance of £100 on any age,
from 8 to 75 , after the expiration of any number of years and months from the date
of the insurance to the extremity of life. But, instead of being remunerated for
his labour, by those Offices to which it might have proved valuable, he has to
i egret that he found Mr. Baily's character of some of these Institutions not
incorrectly delineated.
OF THF. TABLES. W1X
Example xx.
Snppo8€ an Insurance for £100 effected u> years
a£o, on a life then aged 40; it is required to deter-
mine the value of the Policy, supposing the renewal
premium for the nth year just paid, reckoning
interest al •*; per Cent., and estimating the rate of
mortality b^ the Northampton Table 1
The value of the Policj ju^t before the payment
of tbe renewal premium, found as directed in the
last Example is 15.2177, and this being increased 1>\
A. :}!>?•">, the amouril <>f premium just paid, pro-
duces 18.6152 = £18 r_'> id, the answer.
Example xxi.
Suppose l<> years ;ui<l I months elapsed on the
Assurance proposed in the last Examples ; it i>
required t<» determine the value of the Policy?
Hi I- the value of the Policy at the he-"
ginning of the llth year, found as in >= 18.6152
Example \\. is - - - - - -
Ditto at the end of the 1 Ith Near, found )
. . ., . >= lfJ.HI.V2
a^ din cti d in bxample xix, is - - j
decrement in 12 months ----- 1.8000
4-l2ths, or l-3d "t this decrement being taken from
the former value gives 18.0152 = £18 0s id for
the approximated value required t<> be found.
XXX ILLUSTRATION
From the inspection of Table xxii, and, in fact,
from the nature of life assurance, it is manifest, that
the value of a Life Policy, at the end of successive
years, progressively increases : but from the begin-
ning; to the end of the same year, the value gradually
diminishes, as the risk of death during that year con-
tinually diminishes.
Example xxii.
Suppose an assurance for £100, effected 10 years
ago, on a life then aged 40, and paid for by a single
premium ; it is required to determine the present
value of the Policy, reckoning interest at 3 per Cent,
and estimating the rate of mortality by the North-
ampton Table ?
The value of the Policy in this case is identical
with the single premium which would be charged
for the assurance of a like sum on the present age
(50), and is therefore found by Table xviii, in the
column headed 1 payment, — £60 17s 4d the
answer.
Otherwise, by Table xvi, the single premium for
the assurance of £l on the present age, is found to
be .608601; hence .608661x100 = 60.8661 =
£60 17s 4d, the same as before.
If we suppose 10 years and 5 months elapsed on
the insurance, the value of the Policy may be ap-
proximated as follows :
01 i II I. TABLES W \i
Thus lb* ^niLilf premium for t'l :it ">1 II .616005
,1m,, - at ."><> •006601
difference ,.007374
O-ISthe «»!" which being added t<> the former, pro-
duces .<»l 17.;:; as the approximated Bingle premidm
lor the assurance of t'l <>u the present age; hence
.<;il7:;:5. ioo = f»i.i7:}:i -_ fill :{> 6d> the answer.
\]\ \ m I'll win.
Suppose an assurance for £1000) effected 12
ra ago, on a life then •"><». and that tin sum
insured has been increased bj t'-J-2<> /to/ms, it is re-
quired to determine t h< ■ present value of the Policj ;
estimating the rate of mortality h\ the Northampton
Table, and the improvement of mepaej at •) per
Pent '
Here tile lelle\\;i| pn 111 ill III Iteinu | ll-t dlle, hilt
not paid) the value <»i the Policyj exclusive of tin -
Bonus, Bound as directed in Example \i\, is
24.0433 x 10 as -24(). 133*
\ml tin present \ a J u» - of the Bonus* considered
as i Beparate Bum, ret sivable <»n the death of t In •
assured, now aged 62, and for which no future pre-
mium |v charged, found as in the Laet Bxamplei is
,702752 ■ 220 15 1(»<).">. Thi> >um. being added
to the former, produoes. \'>i.<>n:> j i<». i.i;; xjW&Ogf)
=: £395 <n !id, for the pr< genl value of the Pialit]
proposed.
XXX11 ILLUSTRATION
If the value of a Policy, enhanced by one or more
Bonuses, were required either immediately after the
payment of a premium, or at any interval between
the payments of two annual premiums, we should
proceed as in Example xx, or xxi, to find the value
of the Policy exclusive of the Bonuses ; then find
the value of the collective amount of those Bonuses,
as directed in Example xxn ; and the sum of the
values thus determined would be the answer.
The value of a Policy on one or more lives, may
also be determined by the following
Rule.— Find the single premium, which would
now be required to insure on the given life or lives,
the original sum and all the bonuses added thereto ;
also, find the present value of the future premiums
payable on the Policy, by multiplying the amount
of annual premium into the value of £l annuity on
the life or lives proposed. Deduct the latter result
from the former, and the remainder will be the
value of the Policy, supposing the renewal premium
just paid. But if the renewal premium be just due
and not paid, let the value of £l annuity on the
given life or lives be increased by unity, and pro-
ceed as before.
If the value of the Policy be required, at any in-
terval, between the payment of two premiums, find
its value when the last premium was just paid, and
when the next becomes due, then proceed as
directed in Example xxi.
mi I ill fABLES WXIII
Ex vm 1*1.1 \ x i \
Suppose a I'oIkn for the ii^iinim ■•■ of t'io<>0 to
Ikim- I.im-m . licet, d lo years igOi "ii tl»« .M'int U>Cfl
of two persons, then aged ;><» and 20, at an annual
premium of £40 it- 8d; n ■ required to determine
it> present vain,, estimating the intrrr>t of money
al :> pell 1'i'iit., and tin- rate of mortality h\ the
Northampton Table !
li\ Table \i\. opposite the present ages, 45 &
95, the single premium which would how be re-
quired to re-insure the sum proposed is found1 to be
= -';.;ii!i 1000 ii<il.4«>0. And l»> Table \\, tin-
[IITffilrt \alu. ot £40 17s id, per annum on the
joint lives of 4-"> & 35, with the first payment just
due, is, at 3 per Cent., = (1 + 10.0222) x 40.875
=,475.057. Bence 861 .490—4^.057 = 180.433=
t'18'i bs 8d, the answer.
Example \\\.
Suppose a Polic) for t r i * - assnrsas.ce of £3006 to
bate be n effected -J<> years s&o, on the last survivor
of two lives thru aged 50 & :}"). at in> annual pre-
mium of £60 I5S; It I- lrqllllrd to drtrm.mr thr
present ralue of the Policy, supposing it enhanced
bj PbiMSIu amountrE 1200, and the renewal
premium for the 21st year just paid, sis* reckoning
interest at :\ per Cent., and the rale 6f mortality
l»\ the Northampton Table '
<
XXXIV ILLUSTRATION
By Table xx, the single premium which would
be required to re-insure £3200 on the present ages
70 & 55, is = .60701 x 3200= 1942.432.
And the present value of an annuity of £66 1 5s,
on the last survivor of 70 & 55, found as directed in
Example vi, is, by the Northampton 3 per Cent.,
= 12.4925x66.75 sa 833.874. Hence 1942.432-
833.874= 1108.558 = £1108 lis 2d, the answer.
Again, supposing the elder life to have dropped,
the single premium required to insure £3200 on the
surviving life of 55 is, by Table xvi = .646115 x
3200 = 2067.568 : and the present value of £66 15s
per annum on the same life, found by Table xiv, is
11.1500x66.75 = 744.263. Hence the value of the
Policy in such case would be 2067.568-744.263
= 1 323.305 = £1323 6s Id.
Example xxvi.
Suppose a Policy, for the assurance of £5000, to
have been effected 12 years ago, on a life then aged
30, against another life then aged 45, at an annual
premium of £102 14s 2d ; it is required to deter-
mine the value of the Policy, estimating the interest
of money at 3 per Cent., and the rate of mortality
by the Northampton Table ?
By Table xxi, the single premium required to
re-insure £5000 on 42 against 57, is found to be
.25033 x 5000= 1251.650.
And by Table xv, the present value of £ 102 14s 2d
per annum on the joint lives of 42 and 57, with the
mi i ii i i \ BLI - \\w
first payment just due, is. at :\ per Cent., =
(t-ftt.4399 102.708 : 969.401. Hence 1851.600
.969.491=289.159= t^-in-l 3s 2d, the answer.
In determining thereserve to be made, at a genera]
valuation, for tin- different Policies in force on the
whole duration of life, anj extra premium charged
should not enter into the calculation. Bui for short
period Policies the amount of reserve ma j betaken,
without material error, at half tin- year's premiums
payable thereon, extra premiums included.
Explanation of Table XIII.
The number in column I), opposite an) age, is
the product obtained by multiplying the number
Irving opposite the same age in Table \. I>> the pre-
sent value of t'l due as many years hence as are
equal t<> that age. Thus, at the age of 'J<>, the
number living in Table x is 5132; and the present
value of t" i < 1 1 1 • • -Jo years hence is, 1>\ Smart's
Tables, = .55367575. The product of these two
numbers is .55367575 5132= 2841.463949, or
nearly = 2841.464, as given in column D, opposite
the age of 20, in Table \m. The numbers in
column D being thus found for all ages, from birth
to the extremity of life, those in column N ire oh
i a
XXXVI ILLUSTRATION
tained by beginning at the oldest age, and taking the
successive suras of the numbers given in column
D. Thus by the Northampton 3 per Cent, the
number in column N at 95 = .0585 + 0000 = .0585
_ — 94 =.0585 + .24 13 = .2998
_ — 93 = .2998 +.5591 = .8589
_ __ 92 = .8589+ 1.0238=1.8827
and so on, from age to age, to the younger period of
life. The numbers in column S, have been found
in like manner, by taking the successive sums of
those given in column N.
The numbers in column M have been deduced by
multiplying the decrements given opposite each
age in Table x, by the present value of £ 1 due as
many years hence as are equal to that age increased
by unity ; and then, beginning at the extremity of
life, and taking the successive sums of the results,
the same as in the formation of column N from D,
or S from N. The numbers in column R have
likewise been derived by taking the successive sums
of those in column M, the same as before.
The various columns being thus constructed,
conceive a society formed, of as many members of
any given age as are represented by the number in
column D at that age, then will the number in the
same column opposite any higher age, represent the
present fund, which, when improved at the rate of
interest involved in the construction of the Table,
will just provide for the payment of £l to each of
oi THE TABLES. \\\wi
the members which may survive th;it higher age,
supposing the deaths among them to happen in the
proportion expressed bj the rate of mortality from
\\ hich tin* Table is constructed.
On the same supposition, the Dumber in column
N, opposite the given age, represents the present
fund which will just provide t'l per annum to each
member for the remainder of life. The number in
column S, opposite the same age, represents the
present fund which is just sufficient to provide for
each member an increasing annuit} oft'i ;ii the end
of the iir>t year, £2 ;it the end of the second year,
t'."» at the end of the third year, and so on.
The number in column M, represents the present
fund, which will just provide for the payment of fl
to the representatives of each member, at the end
of the year in which that member's Life may happen
t<» fail. And the number in column II represents
the present fund, which, when improve/das before,
will just provide for the payment of fl to the sur-
rivors <>f each member that ma) die in the fu>t
\ear, t'2 to the >ur\ i\ or> of each pf those that
ma\ die in the second year, t':J to the pepre-
Bentatives Of those whp mag die in the third year,
and so on.
A Table thus formed, or even a Table containing
only the Irst two column- marked D & N, >.% i 1 1 be
found to possess man) important advantages over
the common Tables Of Life Annuities. To ppim
out some of these advantagi -
XXXV111 ILLUSTRATION
Let D N M &c. represent the numbers opposite
any assigned age, in the respec-
tive columns so marked,
D/ N, My &c. those opposite an age 1 year
younger than that given,
'D 'N 'M &c. those opposite an age t years
older than the given age,
'D 'N 'M &c. those opposite an age t—\
years older than that proposed ;
v — the present value of £l due 1 year hence
and d — l — v — the discount of ditto:
then it may be shown from the construction of the
Table that
The present value of £l annuity on the) JV
assigned life is - - - - -J- D
That of a temporary annuity of £l for) N-'N
the next t years on the same life - j ~~ D
That of£l annuity, on the same life, de-)_ 'N
ferred for t years - - - -) ~D
The annual premium for £l annuity, on) 'N
the assigned life, deferred for t years -j JN -'N
The amount of £l annuity laid up and^ -^
improved until the extinction of the[= ^
given life - - . - - -■>
That of a similar annuity, payable at the) N,
beginning of each year - - -) M
The present value of £l receivable on|_ 'D
the assigned life surviving t years - }~ D
The annual premium for £l receivable) 'D
on the assigned life surviving t years J — N -'JN/
01 1 in rABLES. \ \\i\
The Bingle premium for t'l annuity,**
on the assigned Life, deferred fori 'N + ^/D
/ years, and then mad. pa] able bj i p
in equal instalments in each year )
... 'N + ">-' -J)
Tlic annual pivmiuin lor ditto - - —
The single premium for the as-) M , </.N
I \ — or ^ 1 — -
Buranoeof t'l on the given life} D I)
The annual premium for ditto - -
M D
Ditto , for ditto, supposing j ^ D — •/ N
the premium to cease = - . or = N ','v '
after / payments, - - ) -\ n* n<~ L\
The single premium for the assurance of t'l in the
event of the given life failing in the next / years
_M-'M v(N -'N)-(N-«N)
I) D
The annual premium for a similar assurance
M-'M N-'\
or = v —
\ - \ is - \
ii ii
"Ilit ralue of a Policj for tli«- assurance of t'l on the
assigned life, at tin- end of ( years from the date
of the insurance, when the(f+l)th annual pre-
mium is jusf due
D.'N , . „. .. l+'A
— I — ,.x ' <»r i»v the common tables =1— -z — r
Thai of the Bame Policy, when the i ■■ i th annual
premium is just paid
= /• — ... . orb) the common tables — v — « . a
Xl ILLUSTRATION OF THE TABLES.
The present value of an annuity for t years, on the
assigned life, commencing' at £m, and increasing
by £n annually until the end of that term
_ Q - n)(N - 'N) + »(S - 'S - i.'N)
D
The present value of an annuity for t years, on the
given life, commencing at £m, and decreasing by
£n annually until the end of that term
Q. + ?0(NT-'N)-7<S-'S-^N)
D
The single premium for the assurance of £w, to be
received in the event of the assigned life failing
in the first year, and increasing by £u for every
year such life may happen to survive, within the
term of t years
(m - n)(M - 'M) + n(R- Ti - t.'M)
D
The annual premium for a similar assurance
(m-nXM-'M) + njK-'R-t.'M)
The single premium for the assurance of £m, to be
received in the event of the assigned life failing in
the first year, and decreasing by £n for every year
such life may happen to survive, within the term
of t years
(m + ?0(M-'M)-7<R-'R-;.'M)
- D~
The first premium to be required for the absolute
assurance of £\, on the assigned life, supposing
the subsequent payments to be successively re-
duced by the £th part of the first premium, until
they altogether cease after t payments
= M
N-I(S-'S)
TABLE I.
• m-ilif Rate «»i Mortalitj among the meaban of the Equitable
Societj from the \< >i L768>ta i--j.y
Number
1 ■
NiihiIh r
i). . i ,
l.n ID*.
meat,
Living.
nit nt.
41
10
-Ml
11
.,,
17-:.
11
2633
11
55
1711
49
12
19
56
1702
18
13
9810
19
57
1669
U
14
2798
13
58
1615
IS
I.".
2785
It
.-.!>
1570
46
if;
-771
l.-,
80
l :>•_'«
46
17
2756
1.;
61
1 178
40
l-
2740
17
62
1 139
47
111
2723
l-
63
1385
is
I'll
2705
18
114
1337
4J>
81
2687
18
*;:.
1988
50
99
2669
18
66
1238
.-.1
93
2650
19
67
1187
59
94
80
68
1135
53
•_•:»
2611
•Jo
<;:>
1082
:.l
96
259]
91
70
1028
:.i
97
2570
•j-j
71
974
58
28
•J.". 1-
98
79
919
.».»
•_>:>
2525
94
73
804
:,<;
90
2501
•_m
74
808
66
31
2477
95
7:.
752
:.:.
•A-2
2452
98
76
697
86
33
2426
98
77
642
:.l
34
2400
96
:-
588
84
:;.-,
2374
87
78
684
:.«
2347
97
80
480
:.(
2320
98
81
496
53
2292
98
89
873
69
:i:>
2264
98
83
:<l>i
:.o
in
2236
28
84
•-'71
47
n
2208
98
85
994
i:<
»_•
2180
98
88
1-1
88
18
2152
•_".»
87
143
89
(1
2123
30
88
111
96
»:.
2093
30
85
96
16
2063
80
!«»
»;:,
u;
>:
2033
81
!<1
18
18
i-
2002
89
99
86
11
18
1970
88
93
•_•:.
:•
M
Il».i7
:{.-,
M
16
7
:,i
1902
:•:.
:i
:.
52
1-.;:,
88
i
8
53
1826
"
97
1
l
I'.
TABLE II.
Showing the Values of Annuities on Single Lives, according to the
experience of the Equitable.
Age.
2 per Cent.
1\ per Cent.
3 per Cent.
3| per Cent.
4 per Cent.
10
29.0178
26.0611
23.5717
21.4568
19.6465
11
28.7131
25.8164
23.3731
21.2940
19.5118
12
28.4015
25.5649
23.1681
21.1252
19.3714
13
28.0932 !
25.3159
22.9651
20.9580
19.2323
14
27.7782
25.0601
22.7554
20.7845
19.0874
15
27.4660
24.8065
22.5475
20.6124
18.9435
16
27.1569
24.5552
22.3413
20.4416
18.8008
17
268508
24.3060
22.1368
20.2722
18.6593
18
26.5477
24.0592
21.9340
20.1042
18.5189
19
26.2477
23.8146
21.7331
19.9378
18.3799
20
25.9508
23.5724
21.5340
19.7729
18.2424
21
25.6472
23.3235
21.3286
19.6021
18.0991
22
25.3365
23.0679
21.1167
19.4250
17.9500
23
25.0285
22.8141
20.9061
19.2490
17.8019
24
24.7135
22.5533
20.6889
19.0666
17.6477
25
24.4008
22.2942
20.4727
18.8851
174941
2G
24.0810
22.0280
20.2496
18.6969
17.3344
27
23.6196
21.7632
20.0276
18.5095
17.1750
28
23.4418
21.4998
19.8065
18.3227
17.0163
29
23.1285
21.2382
19.5865
18.1367
16.8581
30
22.8174
20.9779
19.3677
179517
167007
31
22.4993
20.7107
19.1421
177600
16.5370
32
22.1833
20.4449
18.9173
17.5690
16.3739
33
21.8694
20.1807
18.6937
17.3789
16.2113
34
21.5485
19.9093
18.4631
17.1819
16.0424
35
21.2201
19.6305
18.2252
16.9780
15.8668
36
20.8936
19.3527
17.9879
16.7744
15.6914
37
20.5594
19.0674
17-7432
16.5636
15.5089
38
20.2268
18.7829
17.4988
163527
15.3263
39
19.8865
18.4905
17.2466
16.1344
15.1365
40
19.5382
18.1901
16.9865
15.9082
14.9390
41
19.1817
17-8813
16.Z179
15.6737
14.7337
42
18.8166
17-5637
16.4406
15.4307
14.5198
43
18.4427
172371
16.1542
15.1787
14.2971
44
18.0685
16.9094
15.8661
14.9246
14.0721
45
17.6941
16.5805
15.5763
14.6682
13.8447
46
17.3104
16.2422
15.2769
14.4024
13.6078
47
16.9172
15.8939
14.9674
14.1264
13.3610
48
16.5227
15.5435
14.6552
13.8473
13.1106
49
16.1269
15.1909
14.3400
13.5647
12.8566
50
15 7297
14.8359
14.0218
13.2787
12.5986
51
15.3395
14.4865
13.7083
12.9963
12.3436
52
14.9567
14.1434
13.3996
12.7180
12.0921
53
145817
13.8036
13.0964
12.4443
11.8444
TABLE II.
Showing iiu- \ alms i>! kuoitioi on Siagie Lives, according to the
i \|n i ienoe <>t' the Equitable.
Ige.
Cut
IS 0898
<i ui.
i'. pei ('< nt.
7 |»i CM.
B |>. 1 ( (in
10
16.7390
ii..-.oju
13.77V
11 .:■■
11
17-9739
19.9379
14-4997
12.791
114148
12
I / S559
16.5368
143658
19.664
114198
19
177388
16.4378
14.2998
19.699
11.958
li
17.9195
16.9337
14-9158
1 J..-. I!»
114118
i..
17.4959
16.9304
14.1386
19.499
11.188
16
1741748
16 1289
14.9699
19.492
11.198
17
17.2555
16.0968
1341675
194178
11.078
18
17.1378
15.9992
13.9198
194)18
11.091
10
17.9S
15 8998
19.8491
19.968
104)88
99
16.9045
15,7988
137682
19.999
104)48
91
19.7837
15.9999
19.9099
19.151
10.001
19.9571
15.5179
13.6114
19.089
10.858
j'j
16.5316
15.4196
13.5319
19.098
10.898
24
16.4009
15.9989
13.4171
114)68
19.758
•_':,
19.9996
15.1859
139691
11>:i^
19.798
99
16.1998
15.9983
19.2742
11.899
10. W8
97
15.9999
1 i :>:.io
19.1859
11.761
104)94
m
15 8907
1 1 3341
19.9074
I 1 .698
in .".to
m
15.7954
14.7177
19.9907
1 i.cj.i
19487
:n\
15.5908
14.9019
12.0997
11.658
10.434
31
154509
144806
19.8907
11.487
104)78
88
154)101
1 1.9599
19.7302
11.417
104198
98
15.1796
14.9399
12.8489
1 1 :M7
104988
M
150950
1 1.1199
184(598
1 1 378
104916
14.8731
19.9619
19 r»l 4
ll.l'W
10.147
98
14.7219
19.8489
l •j.:t.-n 18
11.119
10.0S5
89
1 1-5896
19.7199
1949496
11.091
10.01!)
8f
1 14999
19.5799
19.1999
10.048
94W8
91
14.2988
194999
19.9241
104)69
94)88
40
1 » 0968
19.2747
11. !*).-> 1
lt».7'i"'
04)68
41
13-8845
19.1162
11.7798
104)68
9.728
u
19.8057
12.9479
11.6497
in 668
'.i.mj
II
134981
12.7722
11.5061
19444
9444
it
13-9984
12.5949
11.9630
194)98
0448
I.-,
13-0969
124192
11.2174
104999
04)68
i<;
19 8841
124&34
11 0634
10.091
04)48
17
19.9929
19.9249
iojoos
!l!»i7
0,188
M
19 1878
11.9297
10.7398
94)09
0)018
i:»
1 j I
11.8194
10.5699
04)96
B 888
69
11 !I7»!>
11.4(117
10.9666
94(19
8 77i»
r.l
117441
11.1991
10.2128
U.A7-2
8.848
59
11 6198
10.9848
10.0808
0.997
84(28
68
11.2018
10 7896
0 8804
94)84
3.491
TABLE II.
Showing the Values of Annuities on Single Lives, according to the
experience of the Equitahle.
Age.
2 per Ceut.
2| per Cent.
3 per Cent.
3| per Cent.
4 per Cent.
54
14.2150
13.4769
12.7992
12.1758
11.6010
55
13.8401
13.1385
12.4930
11.8981
11.3487
56
13.4653
12.7994
12.1854
11.6184
11.0940
57
13-0906
12.4593
11.8762
11.3368
10.8367
58
12.7162
12.1188
11.5658
11.0532
10.5773
59
123423
11.7777
11.2542
10.7680
10.3157
60
11.9691
11.4366
10.9417
10.4813
10.0521
61
11.5885
11.0873
10.6208
10.1857
9.7796
62
11.1999
10.7297
10.2908
9.8S09
9.4975
63
10-8116
10.3710
9.9592
9.5738
9.2126
64
10-4238
10.0120
9.6262
9.2646
8.9250
65
10.0367
9.6526
9.2922
8.9536
8.6351
66
9.6509
9.2935
8.9575
8.6413
8.3434
G7
9-2669
8.9351
8.6227
8.3280
8.0499
68
8.8853
8.5781
8.2883
8.0144
7.7554
69
8.5069
8.2233
7-9551
7.7012
7.4607
70
8.1329
7.8716
7-6241
7.3894
7.1667
71
7-7554
7.5157
7.2882
7.0721
6.8666
72
7.3840
7.1647
6.9561
6 7577
6.5686
73
7.0111
6.8113
6.6209
6.4395
6.2662
74
G-6469
6.4654
6.2922
6.1270
5.9685
75
6-2847
6.1206
5.9636
5.8133
5.6695
76
5.9163
5.7687
5.6272
5.4916
5.3616
77
5.5516
5.4194
5.2926
5.1708
5.0537
78
5.1827
5.0651
4.9520
4.8432
4.7386
79
4.8209
4.7167
4.6163
4.5196
4.4264
80
4.4705
4.3785
4.2897
4.2041
4.1214
81
4.1380
4.0568
3.9784
3.9028
3.8296
82
38204
3.7491
3.6801
3.6133
3.5487
83
3.5281
3.4653
3.4046
3.3456
3.2885
84
3.2626
3.2073
3.1537
3.1016
3.0510
85
3.0262
2.9/73
2.9299
2,8837
2.8388
86
2.8200
2.7767
2.7347
2.6937
2.6538
87
2.6407
2-6025
2.5652
2.5288
2.4934
88
2.4700
2 4366
2.4039
2.3719
2.3407
89
2.2901
2.2614
2.2333
2.2058
2.1790
90
2.0547
2.0312
2.0080
1.9855
1.9634
91
1.7801
1.7618
1.7438
1.7260
1.7087
92
1.4714
1.4579
1.4447
1.4315
1.4187
93
1.1612
1.1518
1.1427
1.1336
1.1246
94
0.8507
.8448
.8389
.8333
.8275
95
0.5425
.5394
.5362
.5331
.5301
96
0.2451
.2439
.2427
.2415
.2404
97
0
0
0
0
0
TABLE II.
Showing the Valuea ol innoitiea on Single Lives, according to the
experience <'t' the Bqoitabte.
Age.
I] pa t'< in
( i i.i.
0 perCi i.
7 |n i Cent.
9 pa Ce
:.l
11.0704
10.5794
0.7018
3.948
66
10.8406
10.3606
9.5957
8.794
8.156
1
10.6079
10.1567
0.3466
B.641
0.094
:.7
10.3798
0.0410
0.1640
8.4m;
7.^:»1
10.1347
0.7224
8.9785
B.327
7 7.". 1
69
0.8943
9.5011
8.7900
8.166
7.615
00
0.6616
0.2773
B.5986
8.001
7.479
CI
:>.;(!i! id
0.0444
8.3989
7.897
7.391
«;2
0.1384
8.8016
8.1881
7.644
7.161
• 63
8.8737
8.5553
7.9739
71">7
6.997
64
8.6069
8.3058
7.7558
7.968
6.897
<;.-)
8.3363
0.0526
7.5339
7.070
<;.»;.->4
66
8.0622
7.7968
7.3085
<;.s7i
<;. 176
67
7.7869
7.5383
7.0799
6.667
6.295
68
7."» Ki2
7.9779
6.8485
6.461
8.110
80
7.2326
7.0161
6.6150
6.951
5.999
7< >
<;.!i.v>o
6.7530
6.3809
6.041
5.739
71
6.6710
8.4848
6.1379
5.899
5.533
79
r,:.i^i
6.9165
5.8956
5.609
.-,..•{.•{4
73
6.1008
5.9428
.-,.(14 72
:,..J7<;
:,.I27
74
5.8179
5.6794
5.4008
r,.i 18
4.991
7">
.-,..-,.{17
6.3997
5.1519
4.099
4.710
76
5.2368
6.1170
1.8919
4.889
4.480
/ 7
1.0413
1.8330
4.i;-2^
4.4.'i0
4.263
78
1.6378
4.5408
4.3571
4.1-C
4.098
79
U3368
4.2500
4.0855
3.932
3.789
v||
1.0416
3.9645
3.8179
3.681
3.552
81
8.7588
3.8906
3.5600
8.438
3.323
BO
;{.w;i
3. 196 1
3.3097
.'{.•201
8.008
83
3.2331
3.1793
3.0766
9.980
-J
3.0019
9.9643
9.8899
9.777
2.806
85
9.7963
9.7598
9.8714
9.594
9.591
08
9.6160
9.5772
£5044
9.436
9.369
-:
■i 1688
9.4961
9.3601
9.998
2.230
88
9.8109
22896
., .,.>■»<)
9.168
2.116
BO
9.1696
9.1269
2.0770
2.029
1.983
«M>
L9417
1.9904
1.8791
1.830
1.801
01
icon;
1.6749
1.8499
1.611
1.580
09
1.4061
1.3937
1.8694
1.346
1.323
08
1.1169
1.1079
1.0909
1.074
1.068
04
.8220
.8166
8056
,796
.786
06
.6271
.5240
.5182
.519
:,07
«k;
.2392
2381
.934
.931
| m
0
0
0
i
0
TABLE III.
Showing Ihe Value of an Annuity on a Single Life, allowing the
Purchaser a given rate of interest on the Sum advanced, beside the
Premium necessary to secure his Capital by a Life Assurance,
according to the Rates charged by the Equitable
Age. 5
per Cent.
6 per Cent.
7 per Cent.
21
13.316
11.685
10.408
22
13.229
11.615
10.354
23
13.141
11.547
10.297
24
13.051
11.476
10.239
25
12.958
11.402
10.180
26
12.863
11.328
10.119
27
12.766
11.251
10.057
28
12.667
11.172
9.992
29
12.565
11.091
9.926
30
12.461
11.009
9.859
31
12.354
10.924
9-789
32
12.244
10.836
9.717
33
12.132
10.740
9.644
34
12.016
10.654
9.568
35
11.898
10.558
9.489
36
11.777
10.461
9.409
37
11-652
10.360
9.326
38
11.524
10.256
9.240
39
11.392
10.150
9.152
40
11.256
10.040
9.061
41
11.119
9.929
8-968
42 ]
10.981
9.817
8.875
43 ]
10.842
9.703
8-780
44 ]
10.700
9.587
8.683
45 ]
L0.553
9.467
8.582
46 ]
L0.403
9343
8.479
47 ]
10.248
9.216
8.372
48 ]
[0.090
9.085
8.261
49
9.927
8.950
8.147
50
9.762
8.813
8.032
51
9.599
8.677
7917
52
9.435
8.541
7-800
53
9.267
8.400
7-681
54
9.096
8.257
7-558
55
8.921
8.109
7432
56
8.742
7-958
7-302
57
8.559
7-803
7169
58
8.372
7.644
7-032
59
8.181
7.482
6.891
60
7.986
7-315
6.747
61
7.787
7.145
6.599
62
7.585
6.970
6.447
63
7.375
6.790
6.288
64
7.161
6.603
6.126
65
6.939
6.410
5.956
TABLE IV.
Showing ill'- Annniti u> In- required on ;i Singh Lift ton oven t'loo
advanced, m ;i> to allow tin- Paroknaei i riven rate <>i ini
beoide tin- Promim necessary to leoarc htt Capital l.\ a Lift
Assuraiu'o at ti. Bi barged by the Equitable.
A,,
;. pa < < i.i.
1 pa ( .in.
T p. i ( . hi.
n
r.llO
8J88
0467
22
7.568
8.608
0.668
89
7. 'Mo
- 861
9.711
M
7.6B8
- 714
0.766
•_'.".
7.717
-770
0.883
M
7 771
'..—_'
87
7.888
01044
28
7.806
s. !»;,]
Iiiiiii^
20
7. :».".:»
0.016
10.071
■M)
^ 008
OHM
10.143
tl
B (>!».')
0.188
1(1.21*;
aa
8.169
8.888
10.801
89
8,848
0JO8
10.370
34
- 322
0.389
10.452
85
8.405
0.471
10.538
88
B 102
:>.:,<;o
I6v628
89
B.583
vjir.i
10.788
88
8,678
0.7.".' »
!,,,•_»•_>
39
.s.779
0.852
10406
in
MB4
0.080
11.036
41
8,888
10.872
11.186
18
8.107
10.187
1LS68
88
Bl2B8
10J88
11.380
44
8,346
10.431
11. 7.1 7
1.-.
8.478
10.564
11.67.2
4<;
0.618
10703
11.704
i;
:).7-"i-
10.851
11.046
i-
0.011
11.007
12 in:,
49
L0.074
11.171
12 -'7 4
:,•»
10.2 11
11. :U7
12 ri
61
U) 118
1 1 ..V24
12*682
88
10.808
11.7<>!»
L2.820
:»:i
10.700
11.004
134)19
54
10.004
IS 112
1 3.23 1
88
11.210
12.388
18480
;.t;
1L.48B
12.566
18L6B8
57
11.881
18458
i.(.:ii:»
58
LL045
18,082
11.221
:.:»
1 1829
13466
N.-.ii
88
12. VJl
18,671
14421
ci
ta -ii
18.886
16.154
a
13.184
1 1.346
17... -.11
i :!.:.:.:»
I 1.7:10
I8JB08
64
18181
1.V11I
18
.;:,
N us
IB 880
16.701
TABLE V.
Showing the Values of Annuities on Two Joint Lives, according to
the rate of mortality among the members of the Equitable.
Age.
per Cent.
3
per Cent.
per Cent.
4
per Cent.
5
per Cent.
6
per Cent.
Older.
Younger.
10
10
21.8858
20.0962
18.5409
17.1815 14.9309
13.1567
11
11
21.60/5
19.8602
18.3392
17.0078 14.7994
13.0547
12
12
21.3207
19.6157
18.1293
16.8262 14.6608
12.9460
13
13
21.0407
19.3771
17-9245
16.6490 14.5256
12.8403
14
14
20.7521
19.1300
17.7113
16.4639 14.3829
12.7277
15
10
15
21.1424
20.4700
19.4645
18.8883
17.9999
17.5027
16.7147 ! 14.5759
16.2827 14.2434
12.8796
12.6176
16
11
16
20.8650
20.1943
19.2279
18.6520
17-7967
17.2988
16.5389
16.1055
14.4417
14.1071
12.7746
12.5101
17
12
17
20.5869
19.9251
18.9901
18.4212
17.5920
17.0997
16.3615
15.9325
14.3057
13.9741
12.6679
12.4055
18
13
18
20.3154
19.6624
18.7581
18.1962
17.3923
16.9055
16.1883
15.7639
14.1733
13.8447
12.5641
12.3038
19
14
19
20.0432
19.4064
18.5249
17.9768
17.1911
16.7161
16.0136
15.5998
14.0391
13.7190
12.4586
12.2054
20
10
15
20
20.3797
19.7775
19.1572
18.8180
18.2972
17.7633
17-4479
16.9948
16.5324
16.2401
15.8433
15.4405
14.2179
13.9084
13.5973
12.6027
12.3560
12.1105
21
11
16
21
20.1108
19.5108
18.9001
18.5881
18.0683.
175422
17.2501
16.7570
16.3411
16.0688 14.0872
15.6712 13.7759
15.2739 13.4691
12.5005
12.2517
12.0097
22
12
17
22
19.8335
19.2431
18.6348
18.3500
17.8378
17.3130
17.0444
16.5973
16.1419
15.8899 ' 13.9493
15.4973 13.6415
15.0999 ; 13.3339
12.3920
12.1456
11.9026
23
13
18
23
19.5625
18.9816
18.3755
18.1174
176127
17.0890
16.8433
16.4024
15.9484
15.7151
15.3275
14.9299
13.8149
13.5105
13.2021
12.2862
12.0423
11.7983
24
14
19
24
19.2837
18.7190
18.1079
17.8762
17.3862
16.8568
16.6340
16.2058
15.7447
15.5323
15.1560
14.7521
13.6729
13.3777
13.0631
12.1736
11.9373
11.6875
25
10
15
20
25
19.5424
19.0095
18.4626
17.8458
18.1062
17.6402
17.1650
16.6295
16.8378
16.4292
16.0139
15.5463
15.7141
15.3533
14.9886
14.5779
13.8197
13.5341
13.2484
12.9272
12.2940
12.0636
11.8354
11.5793
26
11
16
19.2640
18.7343
17.8663
17.4021
16.6298
16.2219
15.5328
15.1719
13.6794
13.3928
12.1832
11.9512
TABLE V.
Bbowinc tin- Valoea ol Auumitiea on Two loiflfl Lives, according to
tin- rate of limit iiii\ ;mic)ii.. tin- member* of the Bquitable.
*g<
p < . i
i
•if J
■i:
,,
29
30
:;i
82
33
:;i
81
-
19
87
13
18
S3
88
II
l'.i
84
89
in
l.-.
80
•_'.-.
11
16
91
96
:<l
19
17
13
18
93
98
33
II
19
94
29
34
15.81 13
15.3398
16.4901
16.0196
15.6198
15.1373
18.7110 17-3880 16.9148
18.9015 16.9409 15.8905
16.4791 15.4156
14 .:•
I- 1979
17.6757
18
18.4649
17.9322
17.3107
16.9358
16.3939
17.6190
i7.it;:n)
16.7050
16.1698
17.6721
17.0512 15.9364
65 17.1503 16.0078
17.9440 16.7180 15.6265
17.4109 16.9518 15.9168
73 15.7149 14.7446
I- 6342
18.1678
l j.tvj-jr,
17.1554
16.5493
17.3290
16 9175
16 5005
15.4984
• 17.0918
17 3074 10.6828
17.4333 16.2751
16.8917 15.7990
16.2934 15.2743
17.1731
16.0429
17.8158
16.9187
16.3807
15.7984
17-1137
If) 1268
15 5461
16.8533
16.4529
16.0485
15.5732
15 0549
16 6199
16 2281
l i 8407
It; 0016
15 5973
15.1297
I I 6189
lit 17.6618 '
15 17.2584 16.1339
16.1698
15.8051
15.4373
15.0223
145549
15.6003
15.2405
1 1.8199
155577
15.7558
15.3997
15.0422
1 1.6216
14.1648
15 5525
11 B423
I 1.4276
13.9765
155409
15.0054
14.6467
1 J 2319
15 1480
15.1267
4
CenL perO at.
8
I
li B138 13.1121 n 7270
145063 12.7846 11.4648
15.3496 135372 12.0706
14.9944 13.2545 11.8413
I i 6870 12.9738 11.6167
1 1.2178 12.6434 11.3515
15.1701 135980 11.9603
14.8206 13.1194 11.7341
1 i 1639 12.8386 11.5091
14.0429 12.5058 11.2413
11.8483
1 1.6298
11.3997
11.1338
14.9890 13.2570
14.6509 12.9876
14.2890 12.7016
13.8719 12.3714
15.1364
145115
I 1.4855
1 1.1182
1 1.9561
1 1.6318
145128
13.5308
14.7741
1 1.4558
HI 85
13.7647
135604
I 15961
I 1.2840
13.9682
13.5936
13.1943
1 1.4103
li llnl
■
I
13.0216
145107
' l 2215
13.3801
13.1190
12 8595
12.5678
12.2405
13.2402
12.9787
12.7246
12.4269
12.1028
13 0088
12 3415
12 5881
11.9684
12.9605
12.7076
12 1549
12.1543
12.81 19
125718
12.31 18
12.0178
11.7003
11.9522
11.7388
! 1 5287
11.2931
11.0285
11.8418
1 1 .6272
11.4216
11.1800
10.8189
1 1 7287
11 :,l-:;
11.3128
1 1.0684
10.8118
11.6204
11.4123
11.2076
10 7068
11 5044
1 1 3044
II 0948
1(1 K523
115815
115858
TABLE V.
Showing the Values of Annuities on Two Joint Lives, according to
the rate of mortality among the members of the Equitable.
Age.
2|
3
3|
per Cent.
4
per Cent.
5
per Cent. !
6
per Cent.
per Cent
per Cent.
OUler.
47
Younger
42
12.5409
11.9309
11.3691
10.8507
9.9276
9.1328
47
11.8313 11.2835
10.7771
10.3082
9.4690
8.7417
48
13
14.2755 ! 13.5061 12.8031
12.1595
11.0257
10.0625
IS
14.0178 ; 13.2701
12.5866
11.9003
10.8558
9.9164
23
13.7648 ! 13.0306
12.3760
11.76/5 10.6931
9.7777
28
13.4632 12.7646 12.1246
11.5371
10.4980 i
9.6108
33
13.1467 1 12.4782 11.8647
11.3005
10.3005
9.4443
38
12.7578 j 12.126S 11.5464
11.0116
10.0607
9.2436
43
12.2233 11.6413 i 11.1046
10.6086
9.7232
8.9585
48
11.5055
10.9847 10.5024
10.0551
9.2527
8.5554
49
14
13.9339
13.1979 12.5242
11.9064
10.8154
9.8859
19
13.6929
12.9770 12.3214
11.7196
10.6561
9.7488
24
13.4416
12.7475 i 12.1112
11.5268
10.4925
9.6088
29
13.1517
12.4828 11.8690
11.3045
10.3039
9.44/3
34
12.8427
12.2028
11.6146
11.0728
10.1103
9.2838
39
12.4536
11.8505
11.2948
10.7820
9.8681
9.0805
44
11.9061
11.3519
10.8396
10.3653
9.5169
8.7821
49
11.1792
10.6S4S
10.2260
9.7997
9.0335
8.3657
50
10
13.8262
13.1037
12.4418
11.8341
10.7593
9.8420
15
13.5934
12.8900
12.2450
11.6524
10.6036
9.7074
20
13.3693 j 12.6845
12.0562
11.4786
10.4553
9.5798
25
13.1197 i 12.4559
11.8403
11.2856
10.2907
9.4383
30
12.8416
12 2018
11.6136
11.0718
10.1091
9.2824
35*
12.5346
11.9231
11.3598
10.8402
9.9149
9.1181
40
12.1449
11.5694
11.0382
10.54/1
9.6700
8.9119
45
11.5898
11.0621
10.5736
10.1207
9.3086
8.6034
50
10.8527
10.3835
9.9476
9.5420
8.8112
8.1724
51
11
13.4886
12.7986
12.1652
11.5826
10.5499
9.6657
16
13.2613
12.5893
11.9720
11.4039
10.3959
9.5321
21
13.0492
12.3946
11.7929
11.2388
10.2549
9.4107
26
12.8009
12.1665
11.5830
11.0452
10.0890
9.2673
31
12.5348
11.9232
11.3599
10.8401
9.9140
9.1175
36
12.2350
11.6506
1 11.1116
10.6133
9.7242
8.9563
41
11.8383
11.2896
10.7823
10.3125
9.4715
8.7425
46
11.2741
10.7724
10.3071
9.8751
9.0987
84224
51
10.5371
10.0922
9.07S1
9.2923
8.5953
7.9846
52
12
13.1551
12.4965
11.8908
11.3328
103412
9.4896
17
12.9380
12.2962
11.7056
11.1611
10.1929
9.3606
22
12.7328
12.1075
11.5317
11.0007
10.0554
9.2418
27
12.4905
11.8845
11.3261
10.8106
9.8919
9.1001
32
12.2367
11.6522
11.1130
10.6147
9.7251
8.9568
37
11.9385
11.3806
10.8651
10.3879
9.5341
8.7947
42
11.5340
11.0113
10.5273
10.0/83
9.2726
8.5723
TABLE V.
Sbowing i In- Valuta <! Annuities on Two Joint Lives. according to
the rati- ofmortalitj amftng the memberf of tin- Equitable.
Ige.
,
3
l
|" | ('.Hi.
pa < ■ ni
i a 0 nt.
1
pei i i di [tilt Hi pi i <■ >nt.
Ol.lcr.
Yuunjtr.
52
17
10.9592 L0.4S26 liUMOl
9.6284
g 8808
- 2308
52
lit. -J..
9.8116 9.4183 9.0612
7 3027
53
13
12.2024 11.6235 11.0892
10.1375
9.3178
18
12.6238
12 'Ml 11.4463 109247
9.9950
9.1933
23
12.4255
11 B284 11.2777 10 7688
9 - \Q9
9.0773
28
12.1891
11.6105 11.0763 10.5823
9.6999
8.9371
;u
1] 9478
11.3895 10.8735 10.3959
9.5412
8.8009
88
11.6510
11.1187 10.6259 10.1689
:» 3495
8.6378
4.{
11.2320
10.7346 10.2732 9.8445
9.0736
8 1(114
4S
10.6506
10.1985 9.7777 9.3858
86782
B 0583
63
9.9420
9.5422 9.1687 8.8197
6.1863
7.6279
:>\
14
12 .".111
11.9123
11.3595 H».- 1-::
9.9356
9 1 I7'»
V.t
12.3192
11.7347
11.1947
10.6953
9.8028
9.0310
•24
12.1227
11.5531
11.0267
10.5396
9.6683
8.9140
29
11.8973
11.3449
10.3609
9.5138
8 7793
34
11.6632
11.1306
10.6373
Hi 1798
95594
8.6467
:<:>
11.3677
10.8602
10.3895
9.9524
:» 1667
8 1823
44
10.9381
10.4651
10.0257
9 6117
- 8792
8.2345
4!)
10.3492
9.9203
9.5206
!».i47<;
8 1728
7 3799
54
9.6641
95851
8.9306
B5986
7.W4!>
7.4618
55
in
12.3730
11.7893
115499
10.7506
95574
9.0840
15
12.1870
11.6168
11.0896
10.6013
9.7274
8.9701
20
12.0100
1 1 .4532
105378
10.4603
9.6050
8 863 1
28
11.8153
1 1 2727
10.7705
10.3048
9.4700
8 7451
30
11.6011
11.0747
in .5871
in 1346
!».;(j_'4
8.6161
;r>
11.8701
10.8626
10.:<!)1!>
9.9546
9.1686
8. 1837
40
11.0751
10.5923
10.1438
9.7265
8.9747
85178
46
10.6396
10.1906
:» 77-7
MI7!'l
8.0618
:.(>
10.0422
9.6363
9.2573
8.9031
3.2607
7.6948
66
9.8770
9.0186
8.6829
B 3686
7.7941
75858
56
11
12.0457
11.4910
lii!)77:J
10.5010
9.6468
85060
16
11.8646
11.3225
10.8204
10.3546
95187
8.7922
_*1
11.6985
11.1689
10.6777
102219
9.4034
8.6912
20
11 5054
10 9893
in 5107
Hi 0662
9.2675
8.5719
31
11.3027
10.8017
io.:t:«;s
!».:»im<;
9.1273
8.4492
86
! 11.0793
10.5964
111.117^
97303
B.9780
H
10.7797
10.3211
9.8943
9.4966
B.7784
8.1490
16
10.3372
9.9118
9.5150
9.1 146
- 1737
7 8838
;.i
9.7416
!t.:r,7l
8.9984
B.6622
80613
7. -.11.-.
66
9.0916
8.7588
- 1368
B.1376
74027
7.1080
o7
19
11.7163
11 1806
10.7014
10.2478
!» 1322
B.7217
17
n :.»»:<
11.0296
10.5519
10.1080
9.3095
8.6133
22
1 1 3848
in --17
Hi DIM
95798
9.1978
35152
TABLE V.
Showing' tbe Values of Annuities on Two Joint Lives, according to
the rate of mortality among the members of the Equitable.
Age.
n 3
^5
4
5
6
per Cent.
per ^eni.
per Cent.i
per Cent.
per Cent.
per Cent.
Older.
Younger.
57
27
11.1975
107072
10.2517
9.8279
9.0647
8.3979
32
11.0067
10.5305
10.0878
9.6756
8.9323
8.2821
37
10.7862
10.3275
9.9006
9.5026
8.7838
8.1538
42
10.4811
10.0463
9.6409
9.2626
8.5777
7.9757
47
10.0307
9.62S3
9.2524
8.9009
8.2628
7.6999
52
9.4470
9.0841
8.7442
8.4256
7.8451
7.3306
57
8.8082
8.4893
8.1895
7.9074
7.3909
6.9304
58
13
11.3891
10.8901
10.4263
9.9948
9.2171
8.5374
18
11.2263
10.7381
10.2843
9.8618
9.0999
8.4336
23
11.0732
10.5960
10.1519
9.7382
8.9919
8.3386
28
10.8919
10.4267
9.9937
9.5902
8.8616
8.2232
33
10.7134
10.2613
9 8403
9.4476
8.7377
8.1148
38
10.4959
100607
9.6549
9.2760
8.5900
7.9869
43
10.1795
9.7680
9.3836
9.0244
8.3723
7.7976
48
9.7251
9.3451
8.9895
8.6563
8.0503
7.5141
53
9.1593
8.8169
8.4955
8.1936
70424
7.1526
58
8.5271
8.2269
79443
7.6779
7.1891
6.7520
59
14
11.0599
10.5878
10.1482
9.73S4
8.9980
8.3490
19
10.9106
10.4483
10.0177
9.6161
8.8902
8.2533
24
10.7597
10.3078
9.8864
9.4933
8.7822
8.1579
29
10.5889
10.1479
9.7369
9.3531
8.6586
8.0481
34
10.4184
9.9899
9.5901
9.2166
8.5398
7.9441
39
10.2035
9.7913
9.4056
90463
8.3928
7-8165
44
9.8796
9.4907
9.1269
8.7861
8.1664
7.6185
49
9.4205
9.0621
8.7262
8.4111
7.8363
7.3264
54
8.8793
8.5562
8.2526
7.9669
7.4442
6.9782
59
8.2485
7.9476
7.7004
74493
6.9875
6.5732
60
10
10.8772
10.4219
9.9973
9.6010
8.8835
8 2529
15
10.7332
10.2870
9.8709
9.4823
8.7785
8.1596
20
10.5976
10.1603
9.7523
9.3711
8.6804
80725
25
10.4486
10.0213
9.0221
9.2490
8.5724
7-9766
30
10.2885
9.8712
9.4815
9.1171
8.4558
7-8728
35
10.1217
9.7163
93373
8.9827
8.3386
7-7699
40
9.9092
9.5196
9.1550
8.8134
8.1921
7-6425
45
9.5818
9.2149
1 8.8709
8.5483
7.9602
7-4386
50
9.1169
8.7796
8.4628
8.1651
7.6209
7.1367
55
8.5964
8.2924
8.0061
7.7364
7.2416
6-7994
60
7.9728
7.7082
7.4584
7.2220
6.7864
6-3945
61
11
10.5408
10.1116
9 7107
9.3358
8.6554
8.0554
16
10.4011
9.9806
9.5876
9.2199
8.5524
7.9634
21
10.2756
9.8632
9.4775
9.1166
8.4611
7.8823
26
10.1284
9.7253
9.3480
8.9948
8.3529
7.7857
31
9.9793
9.5853
9.2168
8.8715
8.2436
7.6883
36
9.8207
9.4379
9.0795
8.7436
8.1318
7.5901
TABLE V.
Showing the Valuta ui AJMinitiM on Two J^int live*, ... rdi
llie i ; ilii> uaong the members <•! the Equitable.
A|
<il
I -
63
>;i
05
41
M
.".I
61
19
17
87
.
4.'
47
52
:.7
oa
is
18
28
43
)-
03
68
It
Lfl
•_'4
29
;u
ii
i:>
:.»
<;i
in
IS
90
9S
■
:» .71!
10.1948
10.0635
9.6650
!».:.ii».-)
B.5085
- 0190
9 7274
9.61 i_>
9.4784
9 . ..
7. lux.
I
i
'.
9.5041
9.28*21
9.1559
:« 9381
B.8917
8.6614
- 3216
7-9173
7 1429
9.1594
8.9518
- 7218
8.0243
Mill
9.7914
9.5561
9.2939
9.1501
B.9475
8.2111
7-7516
7.1650
9.4719
'.».:!:>»;ii
9.2498
i».l •_>•_' 1
9.0037
7.9313
6.8893
9.1497
9 0450
- 9406
- 71'"
- 5741
6.6147
-
8.6049
8.1978
7-7551
7.2074
9.4139
9.2976
9.1926
9.0676
8.9462
8.8121
8.6233
8.3278
7.9310
7.4991
9.1170
B.9078
8.6761
8.5452
B.3480
8.0497
. i
g 9168
- 7180
- 6190
8.5071
B.4029
8.2751
- 07*26
7.7708
7.4106
• ; U888
6.4258
|.. i ( . Dl
8.5711
7.9171
7.5010
8.8619
8.7340
8.6199
B.4947
B.3185
8.0410
7.6669
7.2603
B.4727
- 2458
8.0612
7.4202
7.0196
8.4104
8.3174
-.Jill
- ll.l
7.9934
7.9033
7.5182
71777
6.7793
6.-2460
B.9284
B.6114
- 3129
B.516B
- 1-287
B.14O0
•
B.0481
7.9495
- 1268
7 9546
; ; » :
7 1028
7.0338
6.5762
M1M
- 3189
B.2 .1 »
8.1262
8.0249
7.9153
7.7613
7.5159
7.1818
o.;o57
B.I764
- 0840
B.0O03
" - -
7.8055
7.6980
7.2858
6.6061
6.1342
7.9316
7.8478
7.7647
7.6691
7.5820
7.4767
7.3084
r,.;\^\
»; :i:»i «
6.9117
7.6106
7 l.v.i 1
6.6150
7 B474
7 <;-i-
74972
7.2655
70471
6 7C«:
6.0096
7 17.- 1
7.3048
7.2100
7.<n;<;>
6.5532
6.2332
;, 9988
7 1221
73467
7 2721
7 1858
7.1079
7 0149
6.6363
G :;i;in
t; 0406
;..»;< 17:1
7 2049
7 I 75
V, :»-_*•;
6.9067
TABLE V.
Showing the Values of Annuities on Two Joint Lives, according to
the rate of mortality among the members of the Equitable.
Age.
n
3
3j
4
5
6
per Cent.
per Cent.
per Cent.
per Cent.
per Cent.
per Cent.
Older.
founger.
65
40
8.5792
8.2821
8.0001
7.7374
7.2512 1
6.8153
45
8.3478
8.0647
7-7974
7.544S
7.0799 !
6.6623
50
8.0049
7.7408
7.4909
7.2547
6.8189
6.4265
55
7.6220
7.3791
7.1489
6.9309 J
6.5278
6.1637
60
7.1582
6.9413
6.7353
6.5396
6.1766
5.8472
65
6.5251
6.3413
6.1663
5.9995
5.6885
5.4046
66
11
8.9189
8.6048
8.3088
8.0295
7.5164
7.0570
16
8.8169
8.5083
8.2172
7.9426
7.4379
6.9857
21
8.7270
8.4233
8.1369
7.8665
7.3696
6.9241
26
8.6198
8.3218
8.0406
7-7752
7.2871'
6.8493
31
8.5132
8.2213
7.9453
7-6847
7.2053
6.7751
36
8.4080
8.1218
7.8516
7.5964
7.1265
6.7044
41
8.2649
7.9876
7-7258
7.4781
7.0218
6.6113
46
8.0315
7.7678
7.5183
7.2823
6.8466
6.4541
51
7.6935
7.4476
7.2147
6.9940
6.5861
6.2176
56
7.3287
7.1025
6.8879
6.6843
6.3070
5.9652
61
6.8711
6-6697
6.4783
6.2961
5.9573
5.6491
66
6.2393
6.0699
5.9081
5.7537
5.4652
5.2011
67
12
8.5718
8.2798
8.0040
7.7434
7.2634
6.8322
17
8.4770
8.1898
7.9185
7.6621
7.1897
6.7651
22
8.3923
8.1098
7.8427
7.5902
7.1250
6.7065
27
8.2903
8.0128
7.7506
7.5026
7.0454
6.6341
32
8.1937
7.9218
7.6 .42
7.4206
6.9711
6.5665
37
8.0930
7.8264
7.5742
7.3356
6.8951
6.4983
42
7.9489
7.6910
7.4468
7.2156
6.7884
6.4030
47
7.7128
7.4677
7.2356
7.0156
6.6085
6.2406
52
7-3879
7.1594
6.9426
6.7368
6.3556
6.0102
57
7.0378
6.8277
6.6289
6.4383
6.0859
5.7657
62
6.5815
6.3952
6.2177
6.0486
5.7335
5.4459
67
5.9567
5.8007
5.6516
5.5091
5.2421
4.9970
68
13
8.2279
7.9570
7.7007
7.4581
7-0101
6.6063
18
8.1401
7-8734
7.6212
7.3823
6.9412
6.5433
23
8.0608
7-7984
7.5500
7.3147
6.8801
6.4879
28
7.9636
7.7058
7.4618
7.2306
6.8034
6.4176
33
7.8775
7.6247
7.3847
7.1574
6.7370
6.3574
38
7.7814
7.5335
7.2986
70761
6.6641
6.2918
43
7.6318
7.3924
7.1655
6.9501
6.5513
6.1905
48
7.3958
7.1687
6.9532
6.7486
6.3692
6.0251
53
7.0886
6.8767
6.6753
6.4838
6.1281
5.8050
58
6.7497
6.5551
6.3698
6.1934
5.8650
5.5658
63
6.2945
6.1226
5.9586
5.8020
5.5096
5.2420
68
5.6779
5.5348
5.3977
5.2664
5.0201
4.7934
69
14
7.8847
7.6340
7.3965
7.1712
6.7543
6.3772
19
7.8069
7.5600
7.3259
7.1040
6.6929
6.3211
TABLE V.
Bhowiag th- Values o( Annuitu^ on Two loiol Uvea, accordi
i In- 1 ate of in 'it ill i \ ■OHMUJtbe DMnben of the Bankable.
Af<
:»
,
>.
i
«
(.. i < . nt
|>. I ( t Dl
1 j
per O
IPUel
Hi)
Yuu.«.r.
6.2661
Jl
7.4808
7.2662
! 1
7 6405
7.4016
7.1751
li.'.HJlll
♦;.:,<; 17
6.2011
84
7.V.I7
7.:<-*7 1
7. in};,
6.5008
6.1 ;
7 I70U
7.2402
7.0221
6.8150
r, (308
6.0825
4 1
7.3179
7 - < »i M ^ t
<; 6858
6.31 15
5.9773
49
7.0612
6.8712
6.6717
6.4819
t;.i •_•:>•_'
;.i
6.7968
6.6006
6.4138
5.9048
5.6030
59
6.4650
6.2855
6.1139
5.9503
5.6451
:,.. •{<;»;!
04
6.0109
5.8527
5.701 1
:. 2864
5.0380
<;:i
5.4040
-,
.,.117.;
5.0268
1.5908
70
ID
-
7.8847
7.1619
6.9502
6.5576
0.2015
I.",
7..*)4tio
7.31 17
7.0951
6.8865
«;.4!»!»l
6 1 181
.
I'D
7.4785
7.2504
6.4460
0.0992
85
;.lu.(ii
7. 17 85
»;.•>( ;:.•_»
6.7625
0.0446
80
7.1011
6 3913
6.6918
6.3213
;..:<- 1*
::,
7.2472
;
8 8241
5.9316
10
7.1600
6.9475
6.7283
<;..->.-,:<:;
6.1961
5.8711
L5
7.0080
6.6087
6.4234
6.0785
6.7044
6.7696
6.5760
tLli'.i \>
6.2162
:,.s-:il
:. 5907
6.5051
6.3240
6.1512
5.9865
5.6791
.-,.:t!is_>
GO
6.1860
6.0198
5.8613
").7lDl
;,.il'7()
5.1078
85
.").7-'<i7
:..H7.;
5.3U2
5.0645
1.8346
70
:>.on;7
1.9019
4.7916
4.3910
71
ii
7.2747
.
6.8538
6.2954
5.9660
i.;
7.2047
6.9920
6.7897
6.5972
5.9131
•_<!
7.1 u<;
6.9347
6.7350
6.5450
6.191 1
;,.s<;w:i
B6
7<»7d«;
6.8640
6.6674
6.4803
6.1320
5.8147
.•{1
6.9979
6.7045
6.6008
6.4165
6.0733
5.7005
B6
6.9365
6.7310
6.5403
6.3588
6.0207
5.7124
II
8 3440
6.< l-l
6.4621
6.2845
5.9536
5.6517
t<;
«;.«;:iii
6.5035
6.3242
6.1532
5.8342
5.5428
|]
♦; 1583
6.2804
6.1107
5.6464
5.3698
56
6.2111
6.0445
5.4490
5.1e
CI
5.9001
•V717-
5.6021
5.4627
5.201 J
4.9613
08
5.4509
5.3181
:..im;-^
i 6273
71
1.8646
J 7561
4.6516
4. :,.-,ll
1.3612
1.1848
72
12
i
6.7860
6 :.I7<;
B 7275
17
■
6.6744
fi |885
6.31 IS
:. 6791
., ,
.; -!..-
6.6213
6 1381
<; 2628
- ;
-'7
»; 7»;-
6.5543
6.2013
:<•_'
<: 8797
<; 1927
6 31 (6
6.1 in;
5.827o
:. 5376
i
6.6173
6.0906
5. V.rJ-2
u
■
6.3509
8 1795
6 1)160
5 7103
5. 1
'•"
• . •
6.2043
.
1 - 1
TABLE V.
Showing the Values of Annuities on Two Joint Lives, according to
the rate of mortality among the members of the Equitable.
Age.
n
3
H
4
5
6
per Cent.
per Cent.
per Cent.
pet Cent.
per Cent.
per Cent.
Older.
Younger.
72
52
6.1551
5.9920
5.8361
5.6S71
5.40S2
5.1522
57
5.9222
5.7695
5.6232
5.4833
5.2210
4.9798
62
5.6154
5.4761
5.3426
5.2146
4.9743
4.7528
67
5.1760
5.0549
4.93S7
4.8271
4.6167
4.4219
72
4.6010
4.5027
4.4079
4.3166
4.1438
3.9828
73
13
6.5916
6.4113
6.2389
6.0744
5.7668
5.4852
18
6.5331
6.3549
6.1848
6.0224
5.7187
5.4405
23
64821
6.3061
61381
5.9776
5.6776
5.4027
28
6.4159
6.2426
6.0771
5.9190
5.6233
5.3523
33
6.3604
6.1895
6.0261
5.8701
5.5781
5.3104
38
6.3026
6.1342
5.9734
5.8196
5.5319
5.2680
43
6.2124
6.0484
5.8915
5.7416
5.4607
5.2029
48
6.0599
5.9025
5.7519
5.6079
5.3379
5.089S
53
5.8539
5.7048
5.5621
54255
5.1692
4.9332
58
5.6326
5.4930
5.3592
5.2309
4.9899
4.7676
63
5.3300
5.2030
5.0812
4.9042
4.7441
4.5405
08
4.9016
4.7917
4.6861
4.5844
4.3923
4.2140
73
4.3355
4.2470
4.1615
4.0791
3.9226
3.7764
74
14
6.2556
6.0916
5.9345
5.7842
5.5026
5.2439
19
6.2052
6.0429
5.8877
5.7391
5.4608
5.2051
24
6.1559
5.9956
5.8423
5.6956
5.4207
5.16S0
29
6.0962
5.9382
5.7870
5.6426
5.3712
5.1219
34
6.0469
5.8908
5.7416
5.5987
5.3308
5.0844
39
5.9934
5.8397
5.6927
5.5519
5.2879
5.0450
44
5.9021
5.7526
5.6094
5.4723
5.2149
4.9779
49
5.7498
5.6065
5.4692
5.3377
5.0906
4.8629
54
5.5635
5.4275
5.2971
5.1721
4.9371
4.7201
59
5.3505
5.2234
5.1012
4.9839
4.7631
4.5588
64
5.0516
4.9363
4.8254
4.7189
4.5178
4.3313
69
4.6356
4.5361
4.4403
4.3479
4.1731
4.0104
74
4.0813
4.0018
3.9249
3.8506
3.7094
3.5771
75
10
5.9691
5.8183
5.6737
5.5356
5.2759
5.0366
15
5.9220
5.7730
5.6304
5.4937
5.2370
5.0003
20
5.8795
5.7322
5.5911
5.4559
5.2019
4.9677
25
5.8316
5.6861
5.5468
5.4133
5.1624
4.9311
30
5.7783
5.6349
5.4973
5.3656
5.1179
4.8895
35
5.7325
5.5908
5.4549
5.3248
5.0800
4.8542
40
5.6833
5.5438
5.4099
5.2817
5.0405
4.8178
45
5.5934
5.4576
5.3275
5.2026
4.9677
4.7507
50
5.4403
5.3104
5.1858
5.0662
4.8411
4.6328
55
5.2713
5.1479
5.0293
4.9154
4.7009
4.5023
60
5.0706
4.9552
4.8441
4.7374
4.5359
4.3490
65
4-7751
4.6708
4.5704
4.4737
4.2908
4.1207
70
4.3734
4.2838
4.1973
4.113S
3.9554
3.8075
TABLL V.
Showing ti>. \ .iin. - ol \iiimittt' - on \»<- loial I*1t< iccordini
the rat.- ol limn 1 1 1 1 % runoof. ttw m abort <>» the BquHabli
•
i
■ i
*»
p i tt ni.
6
pcrCenl
y i « . HI
' ■
|i. r ( « ni.
75
\
; 191 •
BJSTfi
::>
/ 1 >
II
.. i |
5.3006
.2364
5.0001
1.7885
16
5.5818
5 1479
5.3190
5.1954
1.9687
4.7475
2]
.">.."> 156
5 1197
5.9S52
5.1689
1.9385
1.7194
96
5. 1988
5.3676
5.9418
5.1909
4.8934
1.6830
31
5.4521
5.1982
5.0789
4.8640
4.6461
36
5.4127
5.2844
5.1615
1.8811
4.6153
11
5 3648
5.1 178
5.0016
1.7886
1.5796
16
5.2756
5.1531
4.7090
1.5132
51
5.1270
5.0100
1 8974
1.7893
1.5861
1.3958
56
1.9733
1.8619
1.7547
4.6516
4.4669
1.2761
61
1 7890
1.6780
1.5776
1.4811
1.8984
1 1285
66
1.4940
1.4009
1.3097
1.2225
4.0572
3.9030
71
1.1047
1 0244
3.9468
3.8719
:i.7»n
3.5969
76
3 5699
3*5064
3.4455
3.8736
3.1674
7 /
19
5.9858
5.1646
5.0469
4.9344
1.7280
4.5252
17
.. 2453
5.1952
5.0093
1.6880
I 1933
.).»
5.9198
5.0935
4.9789
1.8673
1.6607
1.4678
27
5.1692
5.051 1
4.9381
1 3293
4.6839
1.4332
39
5.1290
5.0196
1.9006
1.7930
1.5898
I 1013
37
4.9780
1.8673
1.7609
1.3732
19
:,vu>7
4.9334
1.8245
4.7198
i. 5219
1.3382
17
1.953 l
1.8475
I 7418
1.6401
1.4479
4.2693
59
1.8187
i 7135
1.6123
1.5148
4.3306
1 1591
57
1.6778
1.5777
1.4812
I 3882
1.8130
1 9486
68
4.4995
4.3901
1.3090
1.2221
1.0574
:<.«m):<7
67
1.2158
4.1319
1.0507
3.9724
79
3.8411
3.7696
3 7004
3.6333
3.5057
77
3.2032
3.1511
3.0515
2.9573
78 1;-
1 9408
i . 70
1.4306
4. •_'.*.! h;
/ < >
18
1 .'.Hill
1.7974
1 0039
1 594 ■
4.4059
I 8757
1.7609
1 50 1
1 3815
i 2078
98
I S340
1 7298
1.6285
1.5311
1.3467
1.1751
:;.{
1 801(1
1.5008
1.3183
i i i-i
1.7605
1.5675
1 I7-'I
1.891 1
I 1232
t:i
1.7814
1.6203
1.5229
1.4291
1.8515
1 0861
18
1 •;... i
1 5358
1.4414
l 3505
I 1781
UU7<;
U
J 507U
111 in
1.2361
I 9707
:<.:in;i
I 3778
l 2883
I 2019
4.1186
.'i.'.MKl/
3 8132
ilj
1.1982
1.1151
1.0346
3.9569
3.6713
68
3.7873
8.7174
3.5844
3. 1597
7:<
3.5724
3.5091
3.4479
3.8749
. 1680
78
3.0471
_• 3196
9 7870
7!>
II
1.6004
1 5039
1 1110
! 1.3213
l 1515
3J661
I. J
TABLE V.
Showing the Values of Annuities on Two Joint Lives, according to
the rate of mortality among the members of the Equitable.
Age.
2-S-
per Cent.
3
per Cent.
3?
per Cent.
4
per Cent.
5
per C* nt.
6
per Cent.
Ol.ler.
YoiiDecr.
85
15
2.9215
2.8754
2.S306
2.7870
2.7034
2.6241
20
2.9086
2.8628
2.8183
2.7749
2.6919
2.6131
25
2.8936
2.8492
2.8052
2.7622
2.6797
2.6015
30
2.8773
2.8322
2.7884
2.7457
2.0640
2.5864
35
2.8629
2.81S2
2.7746
2.7323
2.6511
2.5741
40
2.8511
2.8066
2.7634
2.7213
2.6406
2.5641
45
2.8287
2.7848
2.7422
2.7006
2.6210
2.5454
50
2.7824
27397
2.69S1
2.6576
2.5799
2.5060
55
2.7296
2.6881
2.6476
2.6082
2.5327
2.4609
60
2.6712
2.6311
2.5919
2.5539
2.4S08
2.4113
65
2.5804
2.5424
2.5054
2.4094
2.4000
2.3341
70
2.4506
2.4156
2.3814
2.3481
2.2842
2.2232
75
2.2639
2.2332
2.2031
2.1738
2.1174
2.0636
80
1.9419
1.9180
1.8945
1.8716
1.8274
1.7850
85
1.5366
1.5196
1.5029
1.4866
1.4550
1.4246
80
16
2.7247
2.6838
2.6439
2.6052
2.5306
2.4598
21
2.7144
2.6737
2.6341
2.5955
2.5214
2.4509
26
2.6989
2.6602
2.6208
2.5826
2.5090
2.4390
31
2.6852
2.6452
2.6062
2.5682
2.4952
2.4258
36
2.6735
2.6337
2.5949
2.5572
2.4846
2.4156
11
2.6625
2.6230
2.5844
2.5470
2.4749
2.4063
46
2.6404
2.6015
2.5634
2.5205
2.4554
2.3877
51
2.5945
2.5565
2.5195
2.4S34
2.4141
2.34S1
56
2.5JS0
2.5110
2.4749
2.4399
2.3723
2.30S0
61
2.4939
2.45S2
2.4233
2.3893
2.3240
2.2617
66
2.4056
2.3717
2.3389
2.3006
2.2447
2.1857
71
2.2809
2.2498
2.2194
2.1808
2.1327
2.0781
76
2.09S4
2.0712
2.0446
2.01S7
1.9686
1.9207
81
1.7756
17547
1.7343
1.7142
1.6756
1.63S4
86
1.4122
1.3972
1.3824
1.3680
1.3399
1.3128
87
17
2.5542
2.5179
2.4825
2.4480
2.3816
2.3182
22
2.5453
2.5092
2.4740
2.4397
2.3735
2.3105
27
2.5301
2.4964
2.4614
2.4274
2.3617
2.2991
32
2.5193
2.4837
2.4490
2.4152
2.3500
2.2878
37
2.5089
2.4735
2.4390
2.4053
2.3405
2.2787
42
2.4983
2.4635
2.4292
2.3958
2.3314
2.2700
47
2.4762
2.4416
2.4078
2.3749
2.3113
2.2508
52
2.4328
2.3991
2.3661
2.3339
2.2720
2.2129
57
2.3914
2.3585
2.3263
2.2950
2.2346
2.1769
62
2.3395
2.3077
2.2766
2.2463
2.1S78
2.1320
67
2.2549
2.2249
2.1955
2.1668
2.1114
2.0585
72
2.1364
2.1086
2.0815
2.0551
2.0040
1.9551
77
1.9556
1.9316
1.9080
1.8850
1.8405
1.7978
S2
1.6309
1.6127
1.5947
1.5773
1.5433
1.5106
87
1.3191
1.3056
1.2923
1.2793
1.2540
1.2295
TABLE V.
Showing lln Villi. mi \iiimi1n s <>ii Two foJOl l-i\'>. ■< < •■-i-liiu' i<>
1 1 » • • i . » i < • « • i ■ ■ i > > 1 1 1 1 1 1 v uii'Mi:' tin in' mix i ..I tin Bqoitablc.
Ife,
-
per O i.i
, . 1 ( . ni
1
1
I'. 1 ( . dI
per O i>i
- 1
1.
per O nt.
n|l«: » o»l>ftr.
B8 18
941806
2.3266
2 9991
24*404
9.1849
83
2.3S52
•_'.:;:..•{»
2.3224
.1 .»|.>-i
2.2337
2.177^
H
1
2/3412
2.3103
2.2803
.> •>•>->;{
2.1668
sa
2.3624
_•.; ;ii
2.3005
2.2706
2.2129
2.1 57*
38
1
•_> ;{-_>-_'-j
2.2915
2.2621
2.2048
•i.U:»s
19
2.3424
2.3115
2.2812
2.2517
J.l '.MS
2.1402
18
2.3205
2.2900
2.2602
2.2312
2.1750
2.1212
:..{
2.2811
2. 25 1 1
.» .>■>•>■;
2.1939
2.1390
2.0865
58
2.2440
2.21 H
2.1864
2.1587
2.1051
2.0637
! 89
2.1942
2.1661
2.1386
2. 11 IS
2.0599
2.0102
98
2.1142
2.0876
2.0615
2.0361
1.9669
1 41898
7-<
2.0006
14)762
1.9521
1 .9288
1.8833
1.8396
78
1.8196
1.7985
I.7777
1.7."»7">
1.7189
1.6806
ss
l.:»i »_'.-)
1.4866
1.4709
1.4566
1.4258
141970
as
1 Jill
14319
1.2199
14108]
1 . 1 ssa
1.1631
89
19
2.2225
2 1966
•J. I (NO
•2.1419
2.0911
2.0424
24
£2157
2.1884
2.1617
•j.l :{.").".
2.0850
2.0364
99
2.2010
2.1777
2.1511
2.1252
2.0749
2.0267
34
2.1964
2.1694
_M 130
2.1172
2.0672
2,0192
:{'.)
2.1891
2.1622
J.l .'{.v.*
2.1102
J.l ICO.")
2.0127
ii
2.1782
2.1515
2.1254
2.0999
2.0505
2.0031
19
2.1565
2.1302
•J. Ill J.-.
2.0794
2.0307
L9840
:.i
2.1235
2.0978
2.0726
2.0480
J.l 101 K
14.9646
.V.I
2.0896
2.0644
2.0399
2.0158
1.9699
1.9244
91
J. n 1 ■_'.-•
2.0181
1.9944
14)711
1.9259
1.8826
99
1.9685
1.9454
1.9229
14)008
1.8579
1.8167
71
1.8635
1.8423
1.8214
1.8010
1.7614
1.7232
79
1.6819
1.6637
1.6458
1.6283
1.5942
141614
-i
1 .3823
1.3685
1.3549
1.3416
141157
141907
89
L1747
1.1638
1.1532
1 . 1 4 27
1 . 1 2 J J
1.1026
90
90
14967
14)762
14)641
14024
141904
1.8499
_'.".
1.9926
1.9702
1.9481
14)266
1.8847
1.8444
so
1 9785
14)618
1.9394
14)186 1.8764
1.8363
M
1.9762
1.9540
1 4)323
14)109
1.8695
14B96
JO
14)709
14)488
1.9266
14)058
1.8646
14)249
Ifi
1.9614
14W95
1.9180
1.8969
1.8559
L8164
:>o
1.9398
14)182
1.8970
1 8762
1.7970
:.:.
14)132
1 8920
1.8719
1.8507
141112
1.7736
69
1 B854
1.8616
1 3442
1.8242
1 7854
1.7480
86
144417
l 8217
1.8020
1.7826
1 7456
1.7668
7"
l 7771
1.7580
1.7208
1.6851
1.6506
75
1.6002
I 6488
1.6317
1 5986
1.5
^.i
1.5080
I 1930
1 1782
1.4353
1.4079
I 2416
1 2186
l 2074
I 1 856
1.1614
1 9590
1 mil
1 9322
L.0150
9984
TABLE VI.
Showing the Present Value of a Deferred Annuity of £l on a Single
Life, according to the rate of mortality among the members of the
Equitable, reckoning Interest at 31 per Cent.
When the Annuity is to
comn.puct
at the Age of
Present
Age.
Prcseut
Age.
50
55
60
65
70
75
21
3.596
2.448
1.591
.971
542
.265
21
22
3.747
2.551
1.658
1.012
.564
.276
22
23
3.906
2.659
1.728
1.055
.5S8
.288
23
24
4.072
2.772
1.802
1.099
.613
.300
24
25
4.247
2.891
1.879
1.147
.640
.313
25
26
4.430
3.015
1.960
1.196
.667
.326
26
27
4.622
3.146
2.045
1.248
.696
.340
27
28
4.825
3.284
2.135
1.303
.727
.355
28
29
5.039
3.430
2.230
1.361
.759
.371
29
30
5.266
3.585
2.330
1.422
.793
.388
30
31
5.503
3.746
2.435
1.486
.829
.405
31
32
5.754
3.917
2.546
1.553
.867
.424
32
33
6.019
4.097
2.663
1.625
.907
.443
33
34
6.297
4.287
2.786
1.700
.948
.464
34
35
6.589
4.485
2.915
1.779
.992
.485
35
30
6.898
4.695
3.052
1.863
1.039
.508
36
37
7.222
4.916
3.195
1.950
1.088
.532
37
38
7.566
5.151
3.34S
2.043
1.140
.557
38
39
7.928
5.397
3.508
2.141
1.194
.584
39
40
8.308
5.656
3.676
2.243
1.251
.612
40
41
5.928
3.853
2.351
1.312
.641
41
42
6.214
4.039
2 465
1.375
.672
42
43
6.515
4.235
2.584
1.442
.705
43
44
6.835
4.443
2.711
1.512
.739
44
45
7.176
4.664
2.846
1.588
.776
45
46
4.897
2.9S9
1.667
.815
46
47
5.144
3.139
1.751
.856
47
48
5.406
3.299
1.840
.900
48
49
5.686
3.470
1.936
.946
49
50
5.986
3.653
2.038
.996
50
51
3.850
2.148
1.050
51
52
4.064
2.267
1.108
52
53
4.296
2.397
1.172
53
54
4.549
2.537
1.240
54
55
4.819
2.688
1.314
55
56
2.851
1.394
56
57
3.027
1.480
57
58
3.218
1.573
58
59
3.426
1.675
59
60
3.653
1.786
60
61
1.906
61
62
2.036
62
63
2.179
63
64
2.336
64
65
2.510
65
TABLE VII.
Shewing tin- Aiuuukl Preaiom, pajabL at the bogii oJ tfa
equivalent t>» a Deferred Annuity <>t t'l <>u n Single Ufe, bj th>
Bquitanfc Table, reckoning Intend at aj pel Cent.
\\ li< a the Annuity il to ruuiunuit at lli< A.
ol
PmhM
Ar.
I'mml
■
50
55
fill
65
70
75
21
.'2140
.1160
.0*42
3407
3971
.0130
21
22
.2275
.1440
.0889
.0523
.0285
.0137
22
•J.)
.2423
.1526
.0939
.0559
3300
3144
93
94
.-'."-J
.1619
.0993
.0582
.0316
.0152
94
25
.2757
.1719
.1051
3615
.0333
.0100
95
98
.2949
.1828
.1114
.0650
.0352
.0168
20
99
.3199
.1946
.1181 ;
.00-7
.0371
3177
27
28
.3391
3074
.1253
.0727
.0302
.0187
98
99
.3647
.•2214
.1331 i
.0770
.0415
.0108
20
90
.3032
:2'M u
.1410
.0817
.0439
.0200
86
31
.4249
2534
.17)07
3866
.04*54
.0221
31
89
.4604
.27 18
.10(17
.((020
.041)2
.0233
32
33
..'.(Ml.-)
.2921
.1719
3079
.0522
.0247
S3
.{4
.:. 159
2144
,1833
.1040
.0553
.0202
34
91
.5977
2394
.1962
.1108
.0588
.0278
89
36
.6573
3671
.2103
.1182
.0625
.0295
30
97
.7269
3983
.2259
.1202
.000.5
.0313
:<7
.8078
.4:m
.2431
.1349
.0708
.0333
89
39
.9049
.4732
.2021
.1444
.0755
.0354
99
•40
1.0996
3187
2833
.1549
3806
.0377
40
u
:,711
3070
.iota
.0861
.0402
41
19
.6319
3335
.1701
.0022
.0499
12
19
.7035
3636
.1031
.0088
.oj;,s
43
41
7887
3077
.1060
.0490
It
II
.9919
.4368
.-2201
.1110
.0525
4.">
40
.4819
.2458
.1228
.0563
10
17
3345
.21 170
.1326
.OOOl
47
1-
3965
.2923
1 (35
.0660
19
19
.6705
3209
.1666
0701
r.»
99
.7001
,1699
.0757
60
:.i
.:<:>lo
.1846
,0819
:,i
19
. 1359
3019
.0885
69
:.:<
1883
3216
.0066
63
:>i
3509
.2442
.1053
:,l
."..")
8298
.2702
.1150
55
;,.;
3
.1261
96
."•7
3358
57
98
.3778
1 an
68
99
1280
.1604
59
99
1801
1884
00
CI
.2107
01
99
99
99
2681
93
94
94
f
361*
9S
TABLE VIII.
Showing the Premium, Single or Annual, equivalent to a Survivorship
Annuity of £\ on an Assigned Life A, after the extinction of another
Life B, according to the rate of mortality among the members of the
Equitable, reckoning Interest at 'i\ per Cent.
Age of
Age of
Single
Annual
Age of
Age of
Single
Annual
A.
B.
Premium.
Premium
A.
B.
Premium.
Premium.
10
10
2.9159
.14922
25
10
2.0474
.11478
15
3.4569
.18194
15
2.4559
.14090
20
4.0089
.21730
20
2.8712
.16875
25
4.6191
.25895
25
3.3388
.20178
30
5.2870
.30793
30
3.8628
.24109
35
6.0082
.36528
35
4.4424
.28767
40
6.8358
.43760
40
5.1297
.34765
45
7.8426
.53664
45
5.9974
.43185
50
9.0150
.67067
50
7-0388
.54792
55
10.2069
.83322
55
8.1146
.68940
60
11.4595
1.0420
GO
9.2030
.87205
65
12.8454
1.3365
65
10.5536
1.1309
70
14.2949
1.7514
70
119199
1.4965
75
15.7831
2.3649
75
13.3383
2.0374
80
17.3289
3.3793
80
14.8299
2.9335
15
10
2.6125
.13750
30
10
1.7819
.10378
15
3.1097
.16806
15
2.1466
.12773
20
3.6176
.20103
20
2.5144
.15297
25
4.1832
.24001
25
2.9294
.18283
30
4.8073
.28606
30
3.3968
.21S37
35
5.4857
.34016
35
3.9175
.26057
40
6.2709
.40875
40
4.5452
.31549
45
7.2354
.50326
45
5.3536
.39370
50
8.3674
.63174
50
6.3381
.50248
55
9.5228
.78768
55
7.3646
.63558
60
107415
.98810
60
8.4702
.80811
65
12.0956
1.2709
65
9.7241
1.0536
70
13.5173
1.6698
70
11.0604
1.4016
75
14.9820
2.2596
75
12.4544
1.9168
80
16 5097
3.2355
80
13.9262
2.77H
20
10
2.3250
.12603
35
10
1.5294
.09298
15
2.7781
.15438
15
1.8513
.11479
20
3.2405
.18483
20
2 1728
.13747
25
3 7590
.22093
25
2.5353
.16417
30
4.3356
.26376
30
2.9438
.19580
35
4.9677
.31430
35
3.4007
.23328
40
5.7073
.37883
40
3.9608
.28256
45
6.6270
.46847
45
4.7001
.35398
50
7.7167
.59103
50
5.61S2
.45455
55
8.8351
.74009
55
65861
.57814
60
10.0206
.93102
60
7-6407
.73914
65
11.3442
1.2031
65
S.8512
.96980
70
12.7391
1.5857
70
10.1539
1.2978
75
14.1818
2.1516
75
11.5231
17852
SO
15.692S
3.0891
SI)
12.9771
2.5949
TABLE VIII.
Showing ill. Premium, Single <>■ Annual, equivalent to a Survivorship
\ mini t > of t'l "ii an Assign* <l Lift I, afh i the extinction >.i onotbei
Life B, according lo the rate of mortalit j among tin members of th«
Bquitablo, reckoning Int n si it 8| \>>*t Cent
Single
Animal
\_. 'i
\^. .•!
Siogli
\ ititii.it
1.
/;.
1 ,. inium.
I'll III unit .
I.
/■'
I'm iuihiii.
I'm inium.
10
in
i 2872
.08940
55
10
6482
05291
18
1.:.'
.10212
18
.00088
90
I 8426
.1 22: 10
90
.0603
.llsilj;,
86
2.1
. 1 1580
•_'.-.
1.1278
.00580
SO
2.80 17
.17366
30
1.3110
.11315
2.8010
.20624
36
1.5062
.13222
10
3.3752
.24940
in
1.7543
.15742
IS
1.0331
.31325
48
2.1 26 1
.19730
:.i)
1.8700
.40454
60
2.6408
.25745
88
;».7'; it
.51727
56
322162
.33205
69
6.7532
.66501
(in
;i.s!»_'o
.43215
68
7.9081
.87866
66
1.7492
.58280
70
B.1799
1 . 1 878
70
5.7469
.80363
75
10.1
1.6378
75
6.8688
1.1392
-n
n :»:io:i
SO
8.1305
1.7988
15
10
1.0640
.07212
60
10
.1-lu
.01101
16
1.2012
.08081
16
.6104
.05615
•jo
1..-I 223
.10761
20
.72:111
.1107-11
•j:.
1.7806
.12820
25
.8592
.08089
80
2.0701
.15223
30
.9998
.09539
38
2.3003
.18002
;;:,
1.1110
.11067
in
2 7:i.'U
.21694
ID
123263
.13061
i:.
3.3568
.27265
16
1.6104
.16315
SO
1.0946
.:g:<7!>
.-)(!
2.0185
.21331
."».">
1.8955
.45443
65
2. 1752
.27483
CA)
;,.7! i7:<
.58731
60
3.0229
.35738
86
6.8708
.78100
68
3 7460
.48427
70
8.0595
1.0593
70
4.6200
.67334
7">
9.3407
1.4766
7.")
6.6372
.90460
BO
10.7337
2.1782
so
6.8242
1.4683
."><>
10
9969
.08296
65
in
3422
.03860
18
1.0337
.07805
18
.4868
.04590
90
1 .2225
.09363
90
.5240
.05507
•J.-.
1.4324
.11186
28
.0221
.06007
:io
1.6651
.13201
Ml
.7260
.07868
88
1 9189
.15525
38
B268
.00050
in
2.2405
.18611
10
.9636
.10594
IB
2.7051
.23373
48
1 1662
.131 13
80
3.3311
.30428
89
1.4627
. 1 7227
88
4.021 1
.30205
.">.">
I 9047
.22110
60
1 8159
.50803
69
2.2183
28678
1 1
5 7878
.68166
68
2 7873
70
fi 8860
93170
7"
■
7">
- U029
1.3083
76
1 3832
78687
80
:» 1258
1 9424
-11
1.2129
I. J
TABLE VIII.
Showing the Premium, Single or Annual, equivalent to a Survivorship
Annuity of £l on an Assigned Life A, after the extinction of another
Life B, according to the rate of mortality among the memhers of the
Equitable, reckoning Interest at 3£ per Cent.
Age of
Age of
Single
Annual
A.
B.
Premium.
Premium.
70
10
.2275
.02787
15
.2943
.03636
20
.3556
.04426
25
.4242
.05326
30
.4981
.06312
35
.5653
.07225
40
.6611
.08554
45
.7807
.10261
50
.9976
.13496
55
1.2382
.17314
60
1.5281
.22271
65
1.9421
.30123
70
2.4875
.42148
75
3.1921
.61419
80
4.1141
.96230
75
10
.1396
.02092
15
.1829
.02759
20
.2222
.03371
25
.2665
.04071
30
.3160
.04864
35
.3584
.05552
40
.4034
.06293
45
.4S58
.07678
50
.6275
.10144
55
.7840
.13003
60
.9692
.16584
65
1.2429
.22313
70
1.6160
.31093
75
2.1234
.45276
80
2.8523
.72010
80
10
.0762
.01480
15
.1014
.01987
20
.1240
.02441
25
.1489
.02945
30
• 1786
.03554
35
.2032
.04063
40
.2262
.04544
45
.2696
.05464
50
.3512
.07237
55
.4425
.09293
60
.5470
.11746
65
.7061
.15699
70
.92S8
.21725
75
1.2431
.31384
80
1.7393
.50200
TABLE IX.
Showing tin- \\ . i il- \ iIm. ■ i £l to i it ill. end of ti. \ . . ■
in which :m ^siipncd Life maj t ui. MtimaHBf the rate <>t mortalit)
bj tl e i uq i ii. nee of the Bqohable.
If
i
i>« r <i lit.
..
1
Age.
4
.- 1
l" r (_. nt.
i
|*r (nit
.3 >424
10
90600
.15569
.19811
51686
U868
11
51100
.16014
12605
.45860
.40421
19
.21640
.16491
13084
M
.46879
.41435
l.l
.22184
.16963
.I.i4,'i7
S3
54474
.17:x><>
.42468
It
.22741
.17459
.13876
Bel
55472
.48941
.43518
16
.17956
.14310
.->!)
.49995
1 1585
16
23843
.18438
.14740
69
•57492
51060
. L5668
W
.24387
.18921
.15165
u
58540
52170
.46802
18
24027
.19399
15585
62
59625
53326
17992
19
.25462
.19872
.15999
<h<
.60721
54499
.49204
80
.25990
.20339
.16406
64
.61827
.55688
.50439
•_»1
.26542
.20829
.16838
<;.-.
62942
.56892
•51695
.27116
51343
17--,!'l
66
.64064
58110
83
27 -
51854
.17746
67
.65193
59341
.54265
•ji
--_:-
.22390
68
.awi;
.60581
•_'.-.
.28869
.22924
68
67459
.61828
96
.29483
.23484
.19203
;
83
.:mw>
.24043
.19704
71
69744
.64358
98
.30707
54600
.20203
79
•70890
.65636
.60968
99
.31315
.25154
.20699
78
.72053
.66939
<;_•.;; i
30
.31020
.•J.".7i>.->
.21192
71
•73198
SI
.32550
2625? 1
21713
76
.74348
.»;!*."i2.")
.65182
.-i-i-sn
7'!
•75532
.70871
.66653
27432
.22745
77
76717
.72224
91
.34452
78
77929
.73615
.69677
9fi
.35128
.28662
.23860
79
.7."»<HM>
.71214
36
.29291
.24432
9Q
.76360
72729
87
36504
.29950
.25036
81
.81425
.7 7' '><■«."»
.74188
37207
.30610
.25641
38
•82505
.78927
:«>
51300
.26279
88
.80009
76925
40
.26052
34
•84419
.>!17<»
•78134
a
27663
aa
.85235
.82130
79219
u
.33581
.28415
98
85947
.82966
lo-
11 165
34419
.29211
37
.86564
ll
.42030
56267
88
.87151
-i.. ;■
81757
J.-.
.42005
.36128
30845
n
•87773
.86110
M
.»:{- it;
57031
.31717
[H\
17
14765
57981
.32640
:>i
18
15727
.'(-'.Mil
.33585
81
.
m
turn.-,
.34655
88
91829
.89966
S8168
90
J7<::»^
10944
M
.92971
.91356
:.i
18679
11942
•
88
.94115
52743
.91 (06
69
.49646
37511
98
54104
ss
13902
96164
94340
TABLE X.
Showing the Rate of Mortality, and the Average Duration of Human
Life, at the Town of Northampton.
j
Sum of the
j
Sum of the
Number
a
living at all
Expecta-
Number
1
living atoll
Expecta-
Age.
tiring.
I
higher ages.
tion of
Age.
living.
I
higher ages.
tion of
D
a
N
life.
D
o
N
life.
299198
_ - -
48
3014
78
55778
19.00
0
11650
3000
287548
25.18
49
2936
79
52842
18.49
1
8650
1367
278898
32.74
50
2857
81
49985
17-99
2
7283
502
271615
37-79
51
2776
82
47209
17-50
3
6781
335
264834
39.55
52
2694
82
44515
17-02
4
6446
197
258388
40.58
53
2612
82
41903
16.54
5
6249
184
252139
40.84
54
2530
82
39373
16.06
6
6065
140 I 246074
41.07
55
2448
82
36925
15.58
7
5925
110 240149
41.03
56
2366
82
34559
15.10
8
5815
80 234334
40-79
57
2284
82
32275
1463
9
5735
60 228599
40-36
58
2202
82
30073
14.15
10
5675
52 222924
39-78
59
2120
82
27953
13.68
11
5623
50
217301
39-14
60
2038
82
25915
13.21
12
5573
50
211728
38-49
61
1956
82
23959
12.75
13
5523
50
206205
37-83
62
1874
81
22085
12.28
14
5473
50
200732
37-17
63
1793
81
20292
11.81
15
5423
50
195309
3651
64
1712
80
18580
11.35
10
5373
53
189936
35-85
65
1632
80
16948
10.88
17
5320
58
184616
35-20
GO
1552
80
15396
10.42
18
5202
63
179354
34.58
07
1472
80
13924
9.90
19
5199
67
174155
33.99
68
1392
'80
12532
9.50
20
5132
72
169023
33.43
69
1312
80
11220
9.05
21
5060
75
163963
32.90
70
1232
80
9988
8.60
22
49S5
75
158978
32.39
71
1152
80
' 8836
8.17
23
4910
75
154068
31.88
72
1072
80
7764
774
24
4835
75
149233
31.36
73
992
80
6772
7-33
25
4760
75
144473
30.85
74
912
80
5860
6.92
26
4685
75
139788
30.33
75
832
80
5028
6.54
27
4610
75
135178
29.82
76
752
77
4276
6.18
28
4535
75
130643
29.30
77
675
73
3601
5.83
29
4460
75
126183
28.79
78
602
68
2999
5.48
30
4385
75
121798
28.27
79
534
65
2465
5.11
31
4310
75
117488
27.76
80
469
63
1996
4.75
32
4235
75
113253
27-24
81
406
60
1590
4.41
33
4160
75
109093
26.72
82
346
57
1244
4.09
34
4085
75
105008
26.20
83
289
55
955
3.80
35
4010
75
100998
25.68
84
234
48
721
3.58
36
3935
75
97063
25.16
85
186
41
535 !
3.37
37
3860
75
93203
24.64
80
145
34
390
3.19
38
3785
75
89418
24.12
87
111
28
279
3.01
39
3710
75
85708
23.60
88
83
21
196
2.86
40
3635
76
82073
23.08
89
62
16
134
2.66
41
3559
77
78514
22.56
90
46
12
88
2.41
42
3482
78
75032
22.04
91
34
10
54
2.09
43
3404
78
71628
21.54
92
24
8
30
1.75
44
3326
78
68302
21.03
93
16
7
14
1.37
45
3248
78
65054
20.52
94
9
5
5
1.05
46
3170
78
61884
20.02
95
4
3
1
0.75
a
3092
78
58792
19.51
96
1
1
0
0.50 J
TABLE XI.
Showing the Logarithm of the nnmbei living ;»t each ngc in Ike
N < >■ ih.i in) >t< >n Tabic, iini el the proportion of that nuoabci which
maj be expected i" lunrive one jt ir.
\.,
Lof *^ 1 i-v IBf.
A a.
*-'
Log. N° living.
>,a.
8
i 0863269
[4*708999
1-
3.4791 199
i 9986129
1
3.0370161
.9252942
'!»
3.4677561
4)881541
■ >
3.8(223103
.9689834
60
3.4559109
4)875093
"{
3.8312037
.9779966
:.i
3.4434196
4)669781
l
:; 800*2903
.9865202
82
3.4303976
4)865756
•"»
3.7058105
.9870203
58
3.4169732
4)861473
Q
3.782
.9898575
:.»
3.4031206
4)956909
7
3.7726883
£918614
.i.)
3.388811 l
4)952033
-
3 7645497
.9939837
86
3.37401 17
4)646814
it
37585334
.9954325
67
3.358696]
4)841212
in
3.7539659
9060022
68
3.3428173
4)935188
11
:s 7499681
.9961209
69
3.3263359
4)828683
12
3.7460890
.9960360
60
3.3092042
4)821647
13
3.7421750
.9960504
«;i
3.2913689
4)81 iimij
li
3.7382254
.99601 »-
89
:; 2727696
4)906107
15
3.734 2396
9669772
63
3.2535803
4)799235
i»;
3.7302168
.9956948
84
3.2335038
4)792164
17
3 7259116
.9952392
68
3.2127202
4)781715
19
:t.7-'l ]".<»-
4)047690
4)943668
68
.'{.l!MK!)17
.'.1770 Mil
19
:t 7159198
<;r
HACj'jo;^
4)757314
90
3.7102866
.9938639
68
:i.l 136392
.9742946
•_M
3.7041505
4)935147
69
3.1179338
4)726769
'-2
:; 6976652
.9934163
7<>
3.0906107
4)708418
23
3.6910815
.9933150
71
3.0614525
4)687423
24
3.68 ,
.9932105
72
30301948
4)663169
•_'.->
3.6776070
.9931026
73
24)965117
.'.HLv 1 -:; I
98
3.6707096
.9929913
74
2.9599948
4)601288
27
3.6637009
4)928764
7">
2.9201233
4)660945
29
3.6565773
4)927576
7»;
28762178
4)630860
29
3.6493349
9926347
77
2.8293038
4)502927
SO
3.6419696
.9925077
78
2.7795965
4)470448
81
3.6344773
4»23761
79
2.7275413
4)436315
:fj
3.6268534
.9922399
-ii
2.6711728
89
3.6190933
4)920988
-l
2.6085260
4)305501
:u
, 3.6111921
4)919523
99
2.5390761
4)218217
88
3.6031444
4)918003
83
2 1608978
.9063181
88
3.5949447
4)016426
-I
23692159
.9002970
87
;( 5865873
.991 1780
38
2.2695129
4)918551
30659
4)913080
98
•_' 1613680
9550
13739
9911305
87
2.0453230
;:.:. 1
JO
3.5605044
.9908
—
1.9190781
13136
J!
3 5513280
4)905008
1.7923917
8703661
1.'
U8288
9901608
:h»
1.6627578
4)687211
i:i
3.5310896
9899326
91
14*31 1789
.8487323
II
3.5219222
.:iv-
99
1 802112
HI-,
t:>
::.,! 16160
.9894433
93
1 _'i W1200
.7501225
M
3.50IU503
4W91302
:.i
0.9542425
6478175
tr
3 101 .
9889037
0.6020600
1400
TABLE XII.
Showing;, out of the number entering; upon any year, the proportion
which die within that year, or survive it, according; to the Northampton
rate of mortality.
Age.
Proportion
Proportion
Reciprocal
Age.
Proportion
Froportiou
Reciprocal
which die.
which survive-
of ditto.
which die.
which survive.
of ditto.
0
.257511
.742489
1.34682
48
.025879
.974121
1.02656
I
.158035
.841965
1.18770
49
.026908
.973092
1.02765
2
.068928
.931072
1.07402
50
.028351
.971649
1.02918
3
.049403
.950597
1.05197
51
.029539
.970461
1.03044
4
.030562
.969438
1.03152
52
.030438
.969562
1.03139
5
.029445
.970555
1.03034
53
.031394
.968606
1.03241
6
.023084
.976916
1.02363
54
.03241 1
.96/589
1.03350
7
.018565
.981435
1.01891
55
.033497
.966503
1 .03466
8
.013757
.986243
1.01395
56
.034658
.965342
1.03590
9
.010462
.989538
1.01057
57
.035902
.964098
1.03723
10
.009163
.990S37
1.00925
58
.037239
.962761
1.0386S
11
.008892
.991108
1.00897
59
.038679
.961321
1.04024
12
.008972
.991028
1.00905
60
.040235
.959765
1.04192
13
.009053
.990947
1.00914
61
.041922
.958078
1.04375
14
.009136
.990864
1.00921
62
.043223
.956777
1.04518
15
.009220
.990780
1.00930
63
.045176
.954824
1.04731
16
.009864
.990136
1.00996
64
.046729
.953271
1.04902
17
.010902
.989098
1.01102
65
.049020
.950980
1.05155
18
.011972
.988028
1.01212
66
.051546
.948454
1.05434
19
.012887
.987113
1.01305
67
.054348
.945652
1.05747
20
.014030
.985970
1.01423
68
.057471
.942529
1.06097
21
.014822
.985178
1.01505
69
.060975
.939025
1.06493
22
.015045
.984955
1.01527
70
.064935
.935065
1.06944
23
.015275
.9S4725
1.01551
71
.069444
.930556
1.07463
24
.015512
.984488
1.01576
72
.074627
.925373
1.08064
25
.015756
.9S4244
1.01601
73
.080645
.919355
1.08772
26
.016009
.983991
1.01627
74
.0S7719
.9122S1
1.09615
27
.016269
.983731
1.01654
75
.096154
.903846
1.10638
28
.016538
.9S3462
1.01682
76
.102393
.897607
1.11407
29
.016816
.983184
1.01710
77
.108148
.891852
1.12126
30
.017104
.982896
1.01740
78
.112957
.8S7043
1.12734
31
.017401
.982599
1.01771
79
.121723
.878277
1.13859
32
.017710
.982290
1.01803
80
.134328
.865672
1.15517
33
.018029
.981971
1.01836
81
.147783
.S52217
1.17341
34
.018360
.981640
1.01870
82
.164740
.835260
1.19723
35
.018704
.981296
1.01906
83
.190311
.S09689
1.23504
36
.019060
.980940
1.01943
84
.205128
794872
1.25806
37
•019430
.9S0570
1.01981
85
.220430
.779570
1.28276
38
.019815
.980185
1 .02022
86
.234483
.765517
1.30634
39
.020216
.979784
1.02063
87
.252252
•747748
1.33735
40
.020908
.979092
1.02135
88
.253012
.746988
1.33871
41
.021635
.978365
1.02211
89
.258065
.741935
1.34783
42
.022401
.977599
1.02291
90
.260869
.739131
1.35294
43
.022914
.977086
1.02345
91
.294118
.705S82
1.41667
44
.023452
.97654S
1.02401
92
.333333
.666667
1.50000
45
.024015
.975985
1.02401
93
.4375(H)
.562500
1.77778
46
.024606
.975394
1.02523
94
.555556
.444444
2.25000
47
.025227
.974773
1.02588
95
.750000
.250000
4.00000
TABLE XIII.
i pi i p:u.ii.ir\ Table for determining Um VaJaenof Amnitiei be.
on Single Li»< », ace 'iilin.' to the NortlMinptcti rate of iirttlitj) .
I per Cent
.\-.
D
N
1 •
1)
\
5360.3419
. . .
131970.4426
18
t.-i«.ri5o
0
1 1650.0000
120380.4425
-!!>
129.6574
4930.6845
1
8317
118003.1349
:.M
102.0159
1528.6686
• »
:.i_H.»
105269.5920
.".I
375.5944
1153.0742
a
6028.2843
99241.3077
52
350.4804
3802.5938
4
5510.0677
93731.8400
68
326.7429
3475.8506
B
5136.2225
B8595.0175
:.i
304.3128
31715381
8
4793.2576
- 1801.7599
:.:,
883.1246
2888.4135
7
4502.5130
79299.2469
56
983.1162
2625.2973
8
1248.9636
75060.2833
57
244.2281
2381.0692
B
1029.3349
71020.9484
58
226 (038
2154.6654
10
3833.8967
67187.1817
209.5891
1945.0763
11
3662.5935
63634.5282
80
193.7831
1751.3432
19
3480.8794
60053.6488
<;i
178.7866
1572 5566
ia
3316.9707
56736.6781
62
164.7033
1407.8533
14
3160.5211
53576.1570
88
151.5234
1256.3299
U
3011.1994
50664.9676
84
139.1137
1117.2162
ic
2868.6886
47696.2690
66
127.5126
989.7036
17
2731.1458
4 1965. 1 838
88
1 16.5980
873.1056
18
25974711
42367.6521
87
106.3345
766.7711
l!)
2467.6659
39899.9862
68
96.6878
670.0833
80
2342.1779
87557.8083
88
87 6261
582.4572
81
2220.4980
35387.3103
70
79.1183
503.3389
*_'_'
2103.4476
83883.8687
71
71.1353
4322036
-
1992.1163
81241.7464
72
63.6494
368.5543
M
1886 2372
29365.5092
7:i
56.6341
311.9202
•_'.->
1786.5560
87588 9588
71
50.0642
261.8559
98
1689.8289
86880.1243
7:.
43.9160
217.9399
87
1598 8244
84281 8888
78
38.1667
179.7733
88
1512.3203'
22768 B796
77
32.9410
1 16.8323
88
1430.1053
21338.8743
78
88.2485
1 1 - 5837
80
1351.9773
19986.8970
79
24.0939
94.48981
81
1277.7437
18709.1533
80
20.3472
711 1256
li-2
1207.2204
17501.9329
-1
16.9366
57 20599
88
11 10.2317
16361.7012
38
13.8785
43.32749
84
1076.6104
15285 0008
11.1 163
32.18120
88
1016.1961
14268.8947
-1
8.67791
23.5 . 1
88
958.8363
13310.0684
fi 63253
16.87076
:<7
901
12405.6726
1.97166
11.89910
88
11562.9673
87
3415961
8.23960
88
903 6624
10749.3049
88
8.63114
5.60846
10
757.1306
9992.1743
1 88984
8.71869
11
718.7891
9279
!M>
1.34821
2.87041
88
670 5458
KG08 8394
91
858175
1 11223
630.3125
7ir78
88
.654
.761890
n
1 1821
.411
..'(i
»:.
.").".»; 0523
84
I >480
.11.
M
521 8259
630H
:•:.
.096359
»7
189 »<*»7
5819.0569
8163
u.NMHH»
TABLE XIII.
Being a preparatory Table for determining the Values of Annuities, &c.
on Single Lives, according to the Northampton rate of mortality.
(3 per Cent.)
Age.
D
N
s
M
R
154597-351
2874184.7
0
11650.000
142947.351
2719587.3
7147.166
70883.26
1
8398.058
134549.293
2576639.9
4234.544
63736.09
2
6864.926
127684.367
2442090.7
2946.015
59501.55
3
6205.576
121478.791
2314406.3
2486.614
56555.53
4
5727.188
115751.604
2192927.5
2188.971
54068.92
5
5390.442
110361.161
2077175.9
2019.037
51879.95
6
5079.342
105281.819
1966814.7
1864.940
49860.91
7
4817567
100464.252
1861532.9
1751.107
47995.97
8
4590.415
95873.837
1761068.7
1664.272
46244.87
9
4395.400
91478.437
1665194.8
1602.958
44580.59
10
4222.733
87255.705
1573716.4
1558.313
42977.64
11
4062.175
83193.530
1486460.7
1520.747
41419.32
12
3908.790
79284.740
1403267-2
1485.678
39893.58
13
3760.894
75523.846
1323982.4
1451.630
38412.90
14
3618.298
71905.548
1248458.6
1418.574
36961.27
15
3480.817
68424.731
1176553.0
1386.481
35542.69
16
3348.276
65076.455
1108128.3
1355.323
34156.21
17
3218.688
61857.767
1043051.8
1323.257
32800.89
18
3090.870
58766.897
981194.1
1289.188
31477.63
19
2964.917
55801.980
9224272
1253.260
30188.44
20
2841.464
52960.516
866625.2
1216.164
28935.18
21
2719.999
50240.516
813664.7
1177.460
27719.02
22
2601.634
47638.882
763424.2
1138.318
26541.56
23
2487.856
45151.026
715785.3
1100.317
25403.24
24
2378.500
42772.526
670634.3
1063.422
24302.93
25
2273.402
40499.124
627861.7
1027.601
23239.50
26
2172.410
38320.714
587362.6
992.8241
22211.90
27
2075.372
36251.343
549035.9
959.0599
21219.08
28
1982.143
34269.199
512784.5
926.2791
20260.02
29
1892.585
32376.615
478515.3
894.4531
19333.74
30
1806.562
30570.053
446138.7
863.5541
18439.29
31
1723.945
28846.108
415568.7
833.5551
17575.73
32
1644.607
27201.501
386722.6
804.4298
16742.18
33
1568.429
25633.072
359521.1
776.1528
15937.75
34
1495.293
24137.779
333888.0
748.6994
15161.59
35
1425.087
22712.691
309750.2
722.0456
14412.90
36
1357.703
21354.988
287037-5
696.1682
13690.85
37
1293.034
20061.954
265682.5
671.0445
12994.68
38
1230.981
18830.973
245620.6
646.6525
12323.64
39
1171446
17659.528
226789.6
622.9710
11676.98
40
1114.334
16545.194
209130.1
599.9792
11054.01
41
1059.258
15485.936
192584.9
577.3595
10454.03
42
1006.156
14479.780
177099.0
555.1090
9876.67
43
954.968
13524.S11
162619.2
533.2273
9321.57
44
905.908
12618.903
149094.4
511.9823
8788.34
45
858.897
11760.007
136475.5
491.3561
8276.36
46
813.855
10946.152
124715.5
471.3307
7785.00
47
770.708
10175.444
113769.3
451.8885
7313.67
TABLE XIII.
Being a preparatory I'.iUr for determining the \ aim a <i Vnmniii >. $*•■
on Single l.i \' s, bo trding lo the Noruamptoa rate of mortality.
(3 per Cent.)
u
D
181
N
s
M
1126
R
6861 786
9446
1035933
tt
-l I
245
:»n 17 90
n r
6428
50
861 I
9104.543
11.56
396 6660
601 1 081
:.l
81 j ;
7489.762
77287.01
7275
5617.415
.-•_'
J u
1 3 1 7
69797 25
361
6305
:;»:i \>7M
1877 591
."•I
SI 2 .
5852
56521.47
327.3600
612
•
181
50668 97
311.2251
1206.252
151
4 : » 1 — "■*_':»
8.15
5601
027
57
818
211
5 1 2
3599.467
58
1.514
409S
ill
265.5855
3319.116
029
3728
35.41
251 2498
. 530
916
3382.152
7.34
237.3317
2802.281
- i
28
305!
24675.19
._ 9196
2564.949
-.'1
2760
2161537
210.1
2341.130
278
2481
i5.36
198.1180
2130.430
1 i
179
317
161 73.87
IV,
1932312
946
1984.371
1415035
171
1746.409
615
1763.756
12166.18
162.8177
1572.220
•;7
1 l:i
1560
10402 i-'
151.7770
1 109. 102
186312
1374.095
9841.81
1 11
1257
170.673
122
7.72
130.6610
1116367
79
1 65
1047
626430
120.5472
965.916
71
141 _
906.5667
.vjic.ir
110.7377
965369
72
127.619
77-'.M7:»
■ l :d
101.2139
754.631
71
111
»k;i .
913675
653.417
;»
102.339
5613540
28 16.67
92 9904
561.450
71
■ 125
471. •HI."'
i 71
74.2748
178.460
71
►405
391.7710
16
66.8130
104.186
77
89.3167
322.4543
1 141.63
57 !
338.372
78
80.0196
262.4347
1119.18
50.6277
280 188
79
51 6893
210.7454
<,<; ; i
it I
229 -
90
14 n7;,i
166.6703
646.00
37 9370
l-:..7:'-'t
-1
17 9434
I29.6209
17938
32.1889
147.866
-J
•0.6496
98 9774
849. ;o
•_•';. 87 hi
115.687
81
14 9547
74.1227
•_•:." 79
213718
- 798
M
19
:.i 6843
176.66
17
tu; 821
15 0781
.•{'.i 5062
122.01
13 ;
19. i »•_•
M
11 112]
•_*-. nu J 1
-J 51
10.261 I
:{.-». 968
-7
- 1817
19.6124
:,i H
7.66 ii
•j:, i
98
8 1574
13 ;
1> 029
» 1655
i.O/
12 142
:xi
3.2166
5.7729
12 36
236484
PI
■_'..
3.4846
e ;,-i
2 1 1015
:. Ill
:'_'
1 6819
l 9827
;< iimi
1.48101
1
l Oi
l 217
.'.h;:mi;,:i
1 793
94
5591
.2998
4150
:.:.
.2413
0585
.
(MM)
051
}• a
TABLE XIV.
Showing the Values of Annuities on Single Lives, according to the
Northampton rate of mortality.
Age.
3 per Cent.
4 per Ceut.
Age.
3 per Cent.
4 per Ceut.
0
12.2702
10.3279
48
12.9508
11.6866
1
16.0215
13.4663
49
12.6937
11.4758
2
18.5995
15.6336
50
12.4360
11.2649
3
19.5758
16.4626
51
12.1828
11.0586
4
20.2109
17.0109
52
11.9303
10.8497
5
20.4735
17.2500
53
11.6740
10.6379
G
20.7275
17.4832
54
11.4138
10.4220
7
20.8537
176122
55
11.1500
10.2011
8
20.8857
17.6632
56
10.8826
9.9777
9
20.8123
17.6260
57
10.6115
9.7494
10
20.6633
175248
58
10.3369
9.5169
11
20.4800
173944
59
10.0588
9.2804
12
20.2838
172524
60
9.7774
9.0400
13
20.0814
17.1050
61
9.4929
8.7957
14
19.8728
16.9517
62
9.2055
8.5478
15
19.6577
16.7923
63
8.9100
8.2913
16
19.4358
16.6265
64
8.6115
8.0310
17
19.2183
16.463S
65
8.3047
7.7616
18
19.0131
16.3111
66
7.9948
7.4882
19
18.8208
16.1091
67
7.6821
7.2109
20
18.6385
16.0354
68
7.3673
6.9301
21
18.4708
15.9141
69
7.0510
6.6473
22
18.3112
15.7997
70
6.7342
6.3619
23
18.1486
15.6827
71
6.4179
6.0758
24
17.9830
15.5630
72
6.1037
5.7904
25
17.8144
15.4405
73
5.7939
5.5076
26
17.6425
15.3152
74
5.4912
5.2304
27
17.4674
15.1870
75
5.1997
4.9626
28
17.2890
15.0557
76
4.9254
4.7102
29
17.1070
14.9212
77
4.6520
4.4574
30
16.9217
14.7835
78
4.3725
4.1979
31
16.7326
14.6423
79
4.0772
3.921/
32
16.5398
14.49/7
80
3.7815
3.6439
33
16.3432
14.3494
81
3.4994
3.3777
34
16.1425
14.1953
82
3.2294
3.1219
35
15.9378
14.0415
83
2.9823
2.8874
36
15.7288
13.8815
84
2.7938
2.7084
37
15.5154
13.7172
85
2.6202
2.5436
38
15.2976
13.5486
86
2.4619
2.3934
39
15.0750
13.3754
87
2.3124
2.2516
40
14.8476
13.1974
88
2.1852
2.1316
41
14.6196
13.0184
89
2.0131
1.9677
42
14.3912
12.8385
90
1.7948
1.7582
43
14.1626
12.6580
91
1.5010
1.4739
44
13.9296
12.4691
92
1.1903
1.1715
45
13.6920
12.2835
93
.8390
.8276
46
13.4498
12.0892
94
.5362
.5301
47
13.2028
11.8899
95
.2427
.2404
TABLE XV.
Showing the \ ;iluc H ..t' Vnnuiti M OB T«" -I <*> i» t Lfo • Aug to the
Northampton rate of mortality.
1
;f p. i (
■4 pet ( < "I
\-
<'. ut.
1 |" i Cent.
Oldrr.
Younjrr.
l>ldtr.
VouDC.r.
0
0
5.6150
i 964
17
I'
7
13.6991
15.4906
114)61
184(09
1
1
9.4906
19
1541
13.480
2
•_>
19.7897
11.107
17
14.7878
13.019
3
3
14.1960
124*96
18
3
8
144969
15.4363
18581
134MB
1
4
15.1819
13.188
13
15.0869
184)03
5
0
:»..,
8.138
18
144(164
19.841
5
15.6381
L3.501
1!)
4
1 1.6569
12.876
6
1
1941489
10.741
0
15.3165
13.482
ti
16.0993
14.005
14
1!)
14.8708
1 141164
13.130
12.679
7
9
14.4f.12
124(81
7
164*732
144*84
•Jo
0
8.8927
7.780
8
a
l :...{( m a
184*19
10
14.77".:*
15.1510
1 94)03
134)65
8
164(106
14. 399
15
I4.«r.:»:i
124NU
«)
4
164)096
13.77:.
90
14.1385
124(88
9
lu\4s;;
14.:<:»<;
21
1
11.4132
16.653
10
(i
94(331
8405
G
14.9040
13.121
.">
154)748
18.933
11
14.9739
134117
10
164091
144*77
16
14.4.-.71
12.799
1 1
1
124(468
10.789
91
13.9747
12.409
6
16.1100
l4.o»;>
22
i
18.1799
11.606
11
16.1490
14.189
7
1 14)503
13.178
19
14.7956
18.678
12
9
144*397
I&488
17
144)654
124)46
7
16.1378
14.111
•>.)
184)303
124)99
19
1541869
134NM
13
8
I 14*853
18.619
23
1
13.7944
1 14)997
12.161
13.168
8
16.0897
li 989
13
I ) 619 1
184)84
.,
157691
18.789
18
140822
124(00
11
4
l.V>70
18494
93
I34K
19.179
0
14
15.9671
15.4700
184)89
134*94
24
4
14.1784
144i
194(11
18.112
15
0
9.1889
8.o<;-
14
it ;
12.784
5
1541917
I&479
10
184)089
184)61
10
15.7627
13. Ml
•.'1
;i.:.
12.0
15
13.1'-.".'.'
13411
25
it
- MOB
7 589
Hi
1
114*848
10.468
:.
1 1 8015
12.638
»;
15 1864
184(78
10
1 1.6838
184)88
n
15.5382
134*64
15
li -
12.686
v;
11 4*794
13. 21 J
90
18.7411
19.92°
TABLE XV.
Showing the Values of Annuities on Two Joint Lives, according to
the Northampton rate of mortality.
Age.
Age.
3 per Cent
4 per Cent.
3 per Cent.
4 nor Cent
Older.
v
Older.
Younger.
25
25
13.3837
11.944
32
17
13.3209
11.911
26
1
6
11
11.0378
14.4204
14.5086
9.770
12.754
12.861
22
27
32
12.9609
12.6411
12.2526
11.615
11.359
11.042
16
14.0299
12.470
33
3
12.7431
11.355
21
13.5845
12.105
8
13.8206
12.323
26
13.2301
11.822
13
13.5699
12.125
27
2
7
12
17
12.7225
14.4514
14.3232
13.8322
11.264
12.798
12.715
12.311
18
23
28
33
13.1218
12.7980
12.4743
12.0793
11.750
11.485
11.225
10.902
22
13.4336
11.987
34
4
13.0610
11.651
27
13.0740
11.699
9
13.6988
12.234
28
3
13.3070
11.790
14
19
13.3636
12.9304
11.959
11.595
8
13
18
23
14.4173
14.1327
13.6424
13.2803
12.786
12.564
12.158
11.866
24
29
34
12.6322
12.3044
11.9028
11.352
11.088
10.759
28
12.9153
11.573
35
0
7.8547
7.039
2!)
4
13.6610
12.116
5
10
13.1365
13.5256
11.732
12.098
9
14
19
24
14.3102
13.9366
13.4611
13.1245
12.710
12.408
12.013
11.743
15
20
25
30
13.1513
12.7445
12.4634
12.1314
11.787
11.445
11.217
10.948
29
12.7540
11.445
35
11.7227
10.612
30
0
5
8.2225
13.7627
7.325
12.220
36
1
6
10.1039
13.2068
9.047
11.812
10
14.1501
12.586
11
13.3282
J 1.941
15
13.7349
12.246
16
12.9324
11.609
20
25
30
13.2862
12.9661
12.5898
11.873
11.618
11.313
21
26
31
12.5674
12.2914
11.9551
11.302
11.078
10.805
31
1
10.6050
9.438
36
11.5391
10.462
6
11
13.8598
13.9653
12.322
12.441
37
2
7
11.6006
13.1950
10.392
11.819
16
13.5270
12.078
12
13.1203
11.773
21
13.1210
11.742
17
12.7145
11.430
26
12.8050
11.489
22
12.3945
11.163
31
12.4227
11.179
27
12.1160
10.936
32
2
12.2031
10.865
32
11.7753
10.659
7
13.8717
12.350
37
11.3516
10.307
12
13.7704
12.286
TABLE XV.
Bbowiag the Values of Annuities on i\s,> j..int Urea, toeordiag to
the Northampton rate M Mortality.
tl
S pei < .hi.
( . ui
Afft.
1 p. i ( . ni
J |.»r (int.
OMer.
Younger.
Vi>»n|tl.
38
:{
19.6676
M B38
i:;
8
UJ496
10.348
B
13.1883
11.779
-
13.8859
11.130
18
18.9068
11.600
l.i
13.1449
104)68
18
134087
11.857
18
11.7657
111077
184181
11.080
88
114403
10.470
88
11.9373
10.791
88
1 1 4093
104178
:{.{
11.5919
10408
:<:!
11.0076
10.087
11. 1601
10.140
38
10.6349
8.716
39
4
194619
11.097
4A
10.1753
9436
!>
134)616
1 1 .666
11
4
1 1 6786
10.468
M
18.6863
11.430
9
13.1789
11.018
18
18.8973
11.089
11
114)188
10.799
•_' »
18.0388
10474
1!>
114745
10409
•_".»
11.7549
16.648
84
11.8640
10417
84
11.4047
104154
89
11.1147
10.117
:c.t
104)644
9488
:<4
10 9168
'.i.^'U
Ki
7-4_»71
12.4051
6.700
11.150
89
ii
10.4375
9.9779
9466
9.166
10
18.7919
11413
15
ii
6.9667
6491
i:>
13.4596
1 1 434
:.
11 5973
10400
80
13.0963
104)84
10
11.9760
10.851
•_•:,
11 .8
10.786
15
1 1 .687 1
10.607
:<o
11.5667
10.490
•jo
11.8674
10. .'CIO
:i.-)
114)134
16.196
•_•:.
11.1643
10. ion
10
10.7641
9.890
86
10.9836
9.959
41
l
6
11
9.5981
13.4460
19 5807
8..W>
114109
1 1 443
85
40
10
10.6222
In 2359
9.77
9.706
9.381
880
16
133893
11.044
10
l
- B879
8 "71
•_'l
114)063
in re-
8
11.6106
10498
86
11.6706
nt. -.71
11
11.7557
in 697
:n
11 .
10.386
16
11.4487
in lu-
86
11 0813
10.087
81
11.1673
lu 168
11
104666
9.68 1
86
1<! ■'.
10.000
42
a
7
18
17
10.9075
13.4125
19 3635
18 0030
9499
11.196
11 160
10.856
81
86
il
16
I0.728H
in »•_'..-
10.0
»718
g 797
g 840
9.210
8.8 18
21
11.7333
10.619 17
• >
10 l * — 1
94B1
87
111
lu 183
7
11
10.491
89
11.1949
10.188
12
ll ■
In i-l
10.8284
9 877
17
II 2100
In
18
Id
9.491
in :»<;:-.(
lu 001
TABLE XV.
Showing the Values of Annuities on Two Joint Lives, according; to
the Northampton rate of mortality.
Age.
3 per Cent.
4 per Cent.
Age.
4 per Cent.
3 per Cent.
Older.
Younger.
Older.
Younger-
47
27
10.7733
9.836
51
36
9.7078
8.937
32
105300
9.631
41
9.3832
8.658
37
10.2212
9.370
46
8.9973
8.326
42
9.8290
9.037
51
8.5075
7.900
47
9.3626
8.637
52
2
9.2999
8.520
48
3
10.5158
9.566
7
10.5858
9.690
8
11.4354
10.404
12
10.5827
9.698
13
11.2884
10.284
17
10.3129
9.461
18
10.9757
10.011
22
10.1110
9.284
23
10.7684
9.833
27
9.9527
9.148
28
10.5719
9.667
32
9.7559
8.980
33
10.3272
9.461
37
9.5036
8.763
38
10.0143
9.195
42
9.1791
8.483
43
9.6239
8.862
47
8.7902
8.147
48
9.1491
8.453
52
8 3043
7.723
49
4
10.6968
9.744
53
3
9.6110
8.815
9
11.2601
10.263
8
10.4584
9.591
14
11.0450
10.080
13
10.3441
9.497
19
10.7459
9.818
18
10.0765
9.260
24
10.5628
9.661
23
9.9053
9.111
29
10.3663
9.495
28
9.7479
8.975
34
10.1201
9.286
33
9.5509
8.806
39
9.8028
9.015
38
9.2961
8.586
44
9.4146
8.683
43
8.9747
8.308
49
8.9309
8.266
48
8.5798
7-965
50
0
6.4235
5.882
53
8.0989
7.544
5
10.6793
9.742
54
4
97513
8.957
10
11.0446
10.085
9
10.2764
9.442
15
10.7987
9.872
14
10.1003
9.290
20
10.5229
9.630
19
9.8450
9.063
25
10.3566
9.488
24
9.6965
8.934
30
10.1602
9.321
29
9.5401
8.799
35
9.9123
9.110
34
9.3427
8.629
40
9.5902
8.834
39
9.0851
8.406
45
92045
8.503
44
8.7674
8.130
50
8.7146
8.081
49
8.3660
7.780
51
1
8.1708
7.479
54
7.8913
7.362
6
10.6641
9.745
55
0
5.8608
5.412
11
10.8161
9.894
5
9.7075
8.931
16
10.5538
9.665
10
10.0549
9.256
21
10.3135
9.454
15
9.8509
9.077
26
10.1543
9.318
20
9.6168
8.869
31
9.9578
9.151
25
9.4846
8.754
TABLE XV.
Showing tlif V. iiins of Annuities on Two Joint Lives, Mootding to
the Northampton rate of mortality.
Age.
55
56
57
">»
59
Younger.
80
88
40
4.")
66
l
8
n
it;
81
86
81
86
tl
46
61
66
o
7
18
17
•_>•>
87
:*2
87
48
47
68
•"'7
8
8
13
18
88
88
88
88
4.1
»-
68
68
J
8
9 i" i (.mi. i p , ( , ,,l
8.8881
8.1314
8.8707
- 5570
8.1518
7.6817
7.4120
9.6691
9.8146
9.5968
9.3945
9.9895
8.1150
8.9168
8.6553
83436
7.9410
7-17"]
B3928
9.5496
9.5669
93405
9.1745
9.0513
8.8978
B.6989
8.4393
8.1270
7.7307
73666
9.3964
9.3123
!» 0889
6.951 1
8.8299
B.6774
- 1776
7.9072
7.5185
7.0413
B 7198
9.1917
B.619
8.448
B.221
7.948
7.593
; 179
6.843
8.902
9.052
8.858
8.(579
8.570
- 136
8.264
8 035
7.763
7.409
6.993
7.756
K.si;
B.839
8.639
8.491
- 383
8.250
8.076
7.848
7.574
7.225
6.805
7.986
8.691
B.622
B.422
8 299
B.193
8.060
7.884
7.660
7.038
6.61 1
8 078
8.519
Age.
.; pa O Dt
l |" i Ccut.
OM.r
Yoaagrr.
59
14
9.0687
- 880
19
8.8415
B.907
84
8.725 1
8.1(»4
88
8.6055
7.999
34
8.4539
7.866
39
83531
7.689
44
8.0083
7.469
49
7.6849
7.186
54
73043
6360
50
6.8246
0.421
60
0
5.2384
4.881
5
8.8996
B.011
10
83628
8.314
16
8.70UD
8.170
90
£69
7.996
86
- 1867
7.906
;iu
- 8780
7.809
86
- 2272
7.688
40
8.0251
7.490
46
77810
7274
50
7.4607
6386
;.:.
7.0882
6.659
60
63062
6.896
61
1
fl -.715
6.198
(5
83481
7.944
11
- 6966
- 699
16
- 5210
7.'.>:i.~>
21
1573
7.787
96
83634
7.704
:.i
8 .1175
7.601
88
7.9976
7.468
41
7.7963
7.290
46
7.5550
7.076
51
7.9406
6.796
66
6 8706
6. 188
61
63886
6.080
62
•_'
73908
0 894
7
8 1008
19
- i
7.863
17
- 2520
7 706
82
8.1198
7386
87
831
7 109
88
7.9143
7 397
:f7
7 7680
7 968
TABLE XV.
Showing the Values of Annuities on Two Joint Lives, according to
the Northampton rate of mortality.
Age.
3 per Cent.
4 per Cent.
Age.
3 per Cent.
4 per Cent.
1
Older. , Younger.
Older.
Younger.
62
42
7.5669
7.088
65
65
5.4713
5.201
47
52
57
62
7.3280
7.0209
6.6515
6.1668
6.875
6.600
6.270
5.831
66
1
6
11
16
5.6333
7.2904
7.4372
7.3047
5.295
6.846
6.987
6.866
63
3
7.5456
7.048
21
7.1771
6.749
8
8.2143
7.669
26
7.1104
6.689
13
8.1609
7.625
31
7.0287
6.615
18
7.9814
7.462
36
6.9224
6.520
23
7.8748
7.365
41
6.77GG
6.388
28
7.7856
7.286
46
6.6025
6.230
33
7.6735
7.186
51
6.3696
6.019
38
7.5249
7.053
56
6.0987
5.774
43
7.3327
6.881
61
5.7374
'5.447
48
7.0930
6.667
66
5.2314
4.982
53
58
63
6.7955
6.4273
5.9387
6.399
6.070
5.626
67
2
7
12
6.2659
7.1043
7.1491
5.896
6.684
6.730
64
4
7.5627
7.076
17
7.0118
6.604
9
7.9846
7.470
22
6.9115
6.512
14
7.8838
7.381
27
6.8474
6.454
19
77141
7.226
32
6.7682
6.382
24
7.6265
7.147
37
6.6637
6.288
29
7.5398
7-069
42
6.5220
6.159
34
7.4297
6.971
47
6.3511
6.004
39
7.2815
6.838
52
6.1278
5.801
44
7.0955
6.671
57
5.8608
5.559
49
6.8548
6.454
62
5.5033
5.285
54
6.5682
6.196
67
4.9899
4.760
59
64
6.2015
5.7093
5.867
5.417
68
3
8
6.3301
6.8843
5.965
6.490
65
0
4.5473
4.274
13
6.8572
6.468
5
7.4290
6.963
18
6.7214
6.343
10
7.7185
7.236
23
6.6429
6.271
15
7.5969
7.127
28
6.5815
6.215
20
7.4439
6.986
33
6.504S
6.146
25
7.3702
6.920
38
6.4019
6.052
30
7.2860
6.844
43
6.2665
5.929
35
7.1778
6.747
48
6.0966
5.774
40
! 7.0299
6.614
53
5.8839
5.580
45
6.8507
6.453
58
5.6213
5.341
50
6.6113
6.236
63
5.2650
5.017
55
6 3346
5.986
68
4.7473
4.537
60
5.9702
5.658
TABLE XV.
Showing tlic Values of tanoitiea on Two J"mt Utm, Recording to
iln- Northampton r.u< oi mortality.
kfl
1
4 per ( i ill
l*
3 pa O m.
i pa i .Hi.
OUtr.
YoK»f*r.
Older
Vo»»ffr.
89
4
8L8770
6 894
1
5.0618
l 814
B
6 6288
B 868
7
5.7188
5.418
li
8J69J
6.809
18
5. 7<
I 178
18
6 1848
6.084
17
B 6676
B 888
•_'<
6.3780
6.097
28
5.5866
5.321
SB
6.3133
5 B7S
87
B 5538
S3BS
34
6 .■■
5.808
38
5.6028
6.936
88
6.1874
6.813
37
6 1368
5.174
44
6.0087
5.686
48
5.3413
5.087
4!»
5 B384
5.541
17
5.9984
4463
:>i
S 6383
5.36 7
58
.-i 0773
1.846
:>;>
5.3806
5.191
57
i 8993
i 679
84
54)858
i 788
69
1.6682
i 168
88
L5049
4.319
67
4.9884
4.194
70
(i
3.7881
&509
78
7817
8.688
."»
8 1098
73
8
B 0619
4.811
10
6.3472
6.008
8
5.4803
B 804
l:.
6.2642
6.888
13
5.4733
:, 819
80
6.1497
5.896
18
5.3778
5.198
.'.-.
6.01
6.780
83
5.3234
5.079
.-in
6.0433
5.79B
28
5 2840
5.036
85
5.9714
5.668
33
B 2364
4.991
10
:..-;i>:»
.V.--7I
38
6.1686
i 830
IS
5 7481
6.460
13
6.0814
1 h48
.-.(»
5.6839
5.306
48
4.9701
4.746
.">.">
6.38 17
5.139
53
i 3288
1.614
80
6.1383
i BOO
58
i 6563
4.4:.:.
93
4.7888
k573
68
i 1208
i 886
70
I.L'MI
1.087
68
i 0594
3.801
m
78
34488
8.491
i 1
l
4.6110
i 880
r,
5.8867
6.616
71
4
I B6S9
i 796
n
6.0668
6.744
!>
."• 2266
i B6B
i»;
6 8644
6.680
II
B 1881
I 850
81
5.8706
5.573
18
5.0881
i -
88
5.8863
6439
94
5.0666
i S97
81
6.7787
B If
90
B 0196
» 799
M
6 7081
6.418
84
i 8738
i 749
11
5.6051
B 898
» BOSS
i 680
16
6 1886
B 899
H
i 9S
i 613
:,l
5 8884
5 "71
1.7163
1.511
80
6.1460
i BOB
54
I 5G
l ..-:»
81
1 -'.Ki
1 679
58
i 1184
1 234
M
i 6401
i 848
64
I 1G
I 019
:]
I 8801
3*988
68
MBJ
G 2
TABLE XV.
Showing the Values of Annuities on Two Joint Lives, according to
the Northampton rate of mortality.
Age.
3 per Cent.
4 per Cent.
Age.
3 per Cent.
4 per Cent.
Older.
Younger.
Older.
Youngtr*
74
74
3.3246
3.211
77
72
3.1760
3.070
75
5
4.7686
4.557
77
2.7417
2.656
10
4.9622
4.725
78
8
4.1802
4.016
15
4.9116
4.695
13
4.1856
4.022
20
4.8311
4.619
18
4.1236
3.964
25
4.7990
4.589
23
4.0877
3.930
30
4.7642
4.557
28
4.0640
3.908
35
4.7199
4.516
33
4.0353
3.881
40
4.6566
4.457
38
3.9963
3.844
45
4.5802
4.386
43
3.9428
3.794
50
4.4720
4.285
48
3.8754
3.731
55
4.3504
4.171
53
3.7876
3.648
60
4.1893
4.021
58
3.6821
3.549
65
3.9585
3.806
63
3.5385
3.414
70
3.5993
3.471
68
3.3100
3.199
75
3.1146
3.015
73
2.9637
2.869
76
6
4.5991
4.403
78
2.5503
2.470
11
4.7071
4.487
7.9
9
3.9215
3.775
16
4.6492
4.452
14
3.9045
3.759
21
4.5838
4.391
19
3.8462
3.704
26
4.5564
4.365
. 24
3.8201
3.679
31
4.5236
4.335
29
3.7984
3.659
36
4.4812
4.295
34
3.7716
3.633
41
4.4199
4.238
39
3.7341
3.598
46
4.3479
4.171
44
3.6856
3.552
51
4.2449
4.074
49
3.6195
3.490
56
4.1294
3.966
54
3.5406
3.416
61
3.9742
3.821
59
3.4409
3.322
66
3.7435
3.606
64
3.3031
3.192
71
3.3865
3.270
69
3.0778
2.979
76
2.9269
2.833
74
2.7432
2.659
77
7
4.4021
4.222
79
2.3385
2.271
12
4.4498
4.268
80
10
3.6476
3.517
17
4.3881
4.210
15
3.6213
3.492
22
4.3390
4.164
20
3.5695
3.443
27
4.3135
4.140
25
3.5506
3.425
32
4.2827
4.111
30
3.5307
3.406
37
4.2421
4.073
35
3.5059
3.383
42
4.1839
4.019
40
3.4696
3.349
47
4.1150
3.954
45
3.4260
3.308
52
4.0193
3.864
50
3.3622
3.247
57
3.9086
3.761
55
3.2913
3.180
62
3.7599
3.621
60
3.1977
3.092
67
3.5291
3.405
65
3.0636
2.965
TABLE XV.
Showing tin- Valoet ol Annuities on rwo loin! Lii • oordisg la
the Northampton rat' of iii.italitN ■
Age.
:; |.. i 1
1
i nt
4 |»cr <
i nt.
c ,•
Voun(tr
OU.r
Youpr.
:;(»
7"
8 M38
8.787 B3
88
2<4087
8588
78
365
a 148
78
8.U
3.141
80
8.1286
8.068
78
1.9476
1.899
81
11
B09
8564
83
15 1
1510
16
85488
•asa:> 8 1
It
•-'7
1 888
|]
85076
8.186
1!>
2.6688
8588
96
85992
8.181
34
. B535
8574
$1
85740
8.164
38
2.6417
8588
:<•_
8.142
:{j
2 6275
8 548
41
85164
3.109
88
2.6074
8530
4»;
8.1767
8.079
44
35810
8.506
51
8. 1 1 72
.-{.til:.
4:t
2.5440
a 170
;.-;
;<.(•:, is
8.953
:,i
25009
8 838
11
8.8642
8 B70
59
2.4400
8576
■6
85331
8.746
84
2.3714
8506
71
8.6186
3542
88
25442
8.183
76
252
74
2.0437
1 991
-i
15173
1 868
78
1.7928
1.761
83
ia
8.1230
8,020
84
1.4184
i 887
17
8.0877
■2.US7
85
16
85380
8.469
22
85677
a 808
■2n
•_'.:»( m
2.431
87
8.0437
3546
86
3.4986
2.421
• -'
8271
8 838
80
•J.1H7
3. 4 1 1
17
."{.ihi;,.-,
9.809
.T.
•_' i»;-i
2588
4J
25733
8.878
40
8 4486
8579
47
2 8362
8 848
16
3.4348
8586
:.j
a 8821
3.789
so
888
•J 539
17
35208
8.783
66
8.3482
2 284
69
a 7393
3.656
80
8 3870
9584
17
85102
a 538
86
a 8386
8.168
73
2.4011
8 384
70
8.0988
S 048
77
a 1817
3.077
7">
15088
1.856
82
IJ191
1.681
80
15461
1.668
;;:>
18
2.8s j 7
8.794
85
L3D90
1 588
18
8 M86
8.760 J»'»
i»;
986
8516
J.<
8.740
31
85547
•J _H.«>
28
a 3156
88
35481
pa
85002
8.718
81
35880
n
1 77'.":
8.684
80
2.260
4.1
87506
a w,
41
35041
2.241
18
27145
8588
i»;
2 ■-*•_' 1
H
851
:.i
35483
2 188
18
85080
I 880
:,<;
15114
2 158
88
85306
1 187
n
a k
a loo
TABLE XV.
Showing the Values of Annuities on Two Joint Lives, according to
the Northampton rate of mortality.
Age.
3 per Cent.
4 per Cent.
Age.
3 per Cent.
4 per Cent.
Older
Younger.
Older.
89
Younger.
86
66
2.0892
2.035
64
1.7900
1.751
71
1.9628
1.914
69
1.7218
1.685
76
1.7816
1.739
74
1.6038
1.570
81
1.5109
1.478
79
1.4565
1.427
86
1.2185
1.195
84
1.1879
1.164
87
17
2.2349
2.177
89
1.0361
1.015
22
2.2159
2.158
90
20
1 .7397
1.704
27
2.2080
2.151
25
1.7343
1.699
32
2.1988
2.142
30
1.7291
1.694
37
2.1871
2.130
35
1.7230
1.688
42
2.1687
2.113
40
1.7137
1.679
47
2.1486
2.093
45
1.7026
1.668
52
2.1172
2.063
50
1.6853
1.651
57
2.0823
2.030
55
1.6663
1.633
62
2.0365
1.985
60
1.6409
1.608
67
1.9638
1.915
65
1.6067
1.575
72
1.8381
1.794
70
1.5455
1.515
77
1.6706
1.633
75
1.4406
1.413
82
1.3854
1.356
80
1.3023
1.278
87
1.1416
1.124
85
1.0748
1.054
88
18
2.1124
2.061
90
.9386
.922
23
2.0989
2.048
91
21
1.4589
1.432
28
2.0918
2.041
26
1.4555
1.429
33
2.0834
2.033
31
1.4516
1.425
38
2.0723
2.022
I 36
1.4468
1.420
43
2.0558
2.006
41
1.4391
1.413
48
2.0362
1.987
46
1.4310
1.405
53
2.0079
1.960
51
1.4170
1.391
58
1.9751
1.928
56
1.4025
1.377
63
1.9320
1.886
61
1.3826
1.358
68
1.8605
1.817
66
1.3544
1.330
73
1.7361
1.697
71
1.3032
1.280
78
1.5803
1.546
76
1.2212
1.200
83
1.2848
1.259
81
1.0964
1.078
88
1.1030
1.030
86
.9212
.902
89
19
1.9481
1.904
91
.7697
.756
24
1.9390
1.895
92
22
1.1608
1.142
29
1.9328
1.889
27
1.1584
1.140
34
1.9254
1.882
32
1.1556
1.137
39
1.9153
1.872
37
1.1522
1.134
44
1.9011
1.859
42
1.1464
1.128
49
1.8822 1
1.840
47
1.1407
1.122
54
1.8583
1.817
52
1.1306
1.113
59
1.8288
1.788
1 57
1.1199
1.102
TABLE XVI.
Showing Mir Single, nr Annual, Preinieni for the Asenranee of i'l on
a Single Life, according to the Northampton rate »;t mortality,
reckoning fnteraol at ;t pet Cent
Age.
Bhu
.Annual
Age
B1m
\111111al
I'll llllUlll.
Premium,
I'm iiuuui.
Pn inium.
8
468554
.016668
53
430867
S4S778
1
464680
.016719
|4
438432
.051 129
ie
489989
.017035
:.:.
.646115
.663178
11
474868
.017429
B6
453906
.665031
IS
.880066
.017858
17
.661891
.056996
18
.385980
.iil>:u>!i
B8
488801
959088
u
.392066
.018788
:,:»
477901
.061300
1.1
.896320
.0] 928 _'
88
.686096
.063661
M
404782
.019808
61
.694382
.666176
17
411116
.020334
62
.702752
.068866
18
.417o:i.i
420841
63
.711359
.11717--'
18
.422696
.021326
84
.720052
074916
so
488006
421794
65
.738990
.07-
81
.4:i_-
.022233
66
.738017
.088050
88
.437540
.028657
87
747183
.066053
88
448275
483097
»w
.756392
.090387
J4
.447<»:»7
.083553
SB
,765504
.096081
85
.452010
,034025
7«.
.774783
.100170
86
467016
.034515
71
.783946
.105684
87
.462115
.035033
72
.793096
.111645
89
467312
.035552
73
.802121
.1 18066
SB
472609
.026101
71
410938
.134930
SO
478909
.086672
7.1
.819486
.138178
81
483516
.687267
7-;
.837415
.139638
S3
489132
.037887
77
381
.147806
33
494860
.088538
78
.843.-1 1 !>
.157007
■M
.500704
.039208
7:»
458181
.167834
85
1067
,039914
80
.860738
.180013
86
412754
.030651
i 81
488961
.198138
37
518969
481 133
88
476815
407317
SB
VJl.il 1
.032233
83
.884912
431987
SB
431786
.083088
84
- 39503
434467
40
438419
.083975
85
.894559
447107
41
445060
.084898
96
499170
459;
a
451713
.065846
-7
.903523
473778
48
458371
8888
88
.907227
484834
44
448158
7855
99
418239
408754
IB
473077
.088938
SB
.918599
438687
Ifl
479133
.040079
91
437154
470708
»7
4863-.N
.041883
SB
438806
127439
B
:.:•
.043555
SB
844
41 •
4!>
401156
.048900
84
.965355
421817
.10
408861
.045301
!»:•
.77
.11
.616035
046730
479674
974
68
. 991
048818
TABLE XVII.
Showing the Annual Premium for the Assurance of £100 on a Single
Life for 1, 4, 7 or 10 years, or for the whole period of Life, according
to the Northampton rate of mortality, at 3 per Cent.
Age.
1 Year-
4 Years.
7 Ye«rs.
10 Years.
Life.
Age.
£. *.
d.
£. s. d.
£. *. d.
£. s. d.
£. s.
d.
14
0 17
9
0 18 11
1 1 4
13 5
1 17
7
14
15
0 17 11
1 0 3
1 2 11
1 4 7
1 18
7
15
16
0 19
2
12 1
1 4 6
1 6 0
1 19
7
16
17
1 1
2
1 4 1
1 6 1
1 6 11
2 0
8
17
18
1 3
3
1 6 0
1 7 5
1 8 4
2 1
8
18
19
1 5
0
1 7 6
18 6
1 9 3
2 2
8
19
20
1 7
3
1 8 8
1 9 5
1 10 1
2 3
7
20
21
1 8
9
1 9 5
1 10 1
1 10 9
2 4
6
21
22
1 9
3
1 9 10
1 10 6
1 11 3
2 5
4
22
23
1 9
8
1 10 4
1 11 0
1 11 9
2 6
2
23
24
1 10
2
1 10 10
1 11 6'
1 12 3
2 7
1
24
25
1 10
7
1 11 4
1 12 1
1 12 9
2 8
1
25
26
1 11
1
1 11 10
1 12 7
1 13 4
2 9
0
26
27
1 11
7
1 12 4
1 13 2
1 13 11
2 10
1
27
28
1 12
1
1 12 11
1 13 9
1 14 7
2 11
1
28
29
1 12
8
1 13 6
1 14 4
1 15 2
2 12
3
29
30
1 13
3
1 14 1
1 14 11
1 15 10
2 13
4
30
31
1 13
9
1 14 8
1 15 7
1 16 6
2 14
6
31
32
1 14
5
1 15 4
1 16 3
1 17 4
2 15
9
32
33
1 15
0
1 15 11
1 16 11
1 18 2
2 17
1
33
34
1 15
8
1 16 8
1 17 8
1 19 1
2 18
5
34
35
1 16
4
1 17 4
1 18 7
2 0 1
2 19
10
35
36
1 17
0
1 18 1
1 19 7
2 1 1
3 1
4
36
37
1 17
9
1 18 11
2 0 8
2 2 1
3 2
10
37
38
1 18
6
2 0 0
2 1 9
2 3 2
3 4
6
38
39
1 19
3
2 13
2 2 11
2 4 4
3 6
2
39
40
2 0
7
2 2 7
2 4 1
2 5 8
3 7
11
40
41
2 2
0
2 3 10
2 5 4
2 7 1
3 9
10
41
42
2 3
6
2 5 0
2 6 6
2 8 6
3 11
8
42
43
2 4
6
2 6 0
2 7 9
2 10 0
3 13
8
43
44
2 5
6
2 7 2
2 9 2
2 11 7
3 15
9
44
45
2 6
8
2 8 4
2 10 10
2 13 3
3 17
11
45
46
2 7
9
2 9 9
2 12 6
2 15 0
4 0
2
46
47
2 9
0
2 11 6
2 14 4
2 16 11
4 2
7
47
48
2 10
3
2 13 7
2 16 4
2 18 11
4 5
1
48
49
2 12
3
2 15 9
2 18 6
3 1 1
4 7 10
49
50
2 15
1
2 18 0
3 0 8
3 3 5
4 10
7
50
51
2 17
4
2 19 11
3 2 8
3 5 7
4 13
6
51
52
2 19
1
3 1 10
3 4 9
3 7 11
4 16
5
52
53
3 1
0
3 3 11
3 7 0
3 10 3
4 19
7
53
54
3 2
11
3 6 1
3 9 5
3 12 10
5 2
10
54
55
3 5
1
3 8 5
3 12 0
3 15 6
5 6
4
55
56
3 7
3
3 10 11
3 14 8
3 18 5
5 10
1
56
57
3 9
9
3 13 7
3 17 6
4 1 6
5 14
0
57
58
3 12
4
3 16 6
4 0 6
4 4 10
5 18
2
58
59
3 15
1
3 19 5
4 3 8
4 8 6
6 2
7
59
60
3 18
2
4 2 6
4 7 1
4 12 6
6 7
4
60
61
4 1
5
4 5 8
4 10 10
4 16 11
6 12
4
61
62
U 3
11
4 9 1
4 15 0
5 1 8
6 17
9
62
TABLE XVIII.
Showing ttu- Premiu n required, fot a given ranbei ol Pavnieuts, to
_ loo at I of a Single 1
1
*«•
1 I'umtut.
| P., M
t. ■
t.
r ■■.,-«.!..
■KM,
C. «. ,/.
T.rt«M.
f. <■ d.
m.nlu
£. s.
d.
C. ... d.
f.
s. d.
It
.'Ill 4
l
B
!»
■ >
8 :> a
4 13 :.
A B in
•J
10 ID
IS 39 16
B B
19
• >
8 - ii
i i:. a
a in a
••
I- II
16 W n
; -
16
A
6 Id :,
4 17 1
8 1] 7
•_>
in a
17 ii a
-
18
6
6 19 16
I 1- 11
A U D
8
D 0
1- 11 14
•<
!l
1
1
6 11 l
;. o 8 1
a u .-,
A
1 8
19 12 5
r>
9
4
1
s 17 a
:» •_» a
a i.-, a
A
2 ID
20 12 16
o
a
8
s
6 n» a
:, a in
a n; id
3
a :i
21 49 :.
!»
!l
:»
ii
7 I 0
:. :, •_»
a 17 o
3
4 8
22 13 15
I
B
n
I
7 a a
."> 8 6
a i- in
3
;. o
23 n i
7
:»
ia
8
; i a
:. 7 8
8 19 10
3
o :,
J » llll
•>
;»
18
ii
7 :» id
."> 9 ii
4 D Hi
a
7 a
.'.". 15 1
i)
ii
17
,s
7 7 7
:■ Id a
4 1 10
a
- _•
26 45 11
0
ID
ii
II
7 11 4
:.ll 8
4 2 11
a
9 1
27 !•; I
3
ID
•_>
1
7 11 1
:» 13 ii
1 4 0
3
10 1
28 16 11
9
10
4
-
7 13 it'
:. 1 1 :,
1 :, 1
a
11 n
17 :.
3
ID
7
2
7 14 ID
8 16 11
1 0 a
A
19 l
17 16
0
ID
:»
8
7 18 B
:. 17 4
1 7 •-■
A
13 1
31
l- 7
n
ID
19
a
1 18 8
:> 18 11
1 8 8
a
11 :i
_
1- N
a
ID
ii
!»
8 D -
6 D :.
4 [, 11
a
1.-. 1
38 49 9
«»
ID
17
.".
8 _' 3
t, a i»
111 •_'
3
|6 o
34 ;,i) 1
."
11
D
_<
- 1 :»
G 3 11
4 12 <;
A
17 li
35 50 13
i
11
•J
In
8 a id
.; :, i
1 \A 11
A
111 D
"• 1 :.
6
11
."»
9
- i; i
«; 7 •-'
1 I.". 1
4
D 4
■ - .". 1 17
11
11
-
ii
8 11 8
8 B 11
1 16 In
4
1 -
J 10
B
11
11
-
8 13 !♦
c in id
4 1- 1
4
3 1
- ; 3
7
11
1 1
it
- ia a
6 1-* ii
4 1U 11
4
J 7
10 53 16
ID
II
18
ii
- i- in
• ; ii :»
:. 1 8
4
i; a
n :>i id
•_)
18
1
8
11 1 4
8 16 in
:. 3 i
4
7 a
12 :.:, 3
.">
12
4
7
ii a 16
<; l- in
:. r. i
1
:i i
13 ;.:. 16
9
12
7
it
:i 8 i
7 0 11
:. o M
1
ii (i
41 56 H>
1
12
11
1
:» S 11
7 a d
:. - -
4
19 i>
»". 57 I
■)
19
11
.">
1» 11 7
7 :» 8
:. M 0
4
11 0
16 57 18
a
12
17
16
ii 1 1 :.
7 7 o
:. 19 o
1
16 :.
17 58 12
a 13
1
1
u 17 i
7 :♦ 11
:. 14 7
4
l- :.
' 7
i
13
.">
A
M d a
7 19 <;
:. 16 a
.'i
ii «;
4:1 60 •-'
i
13
!>
a
in a o
7 18 1
.■• i:» i
:»
a :<
50 60 17
4
13
13
•_>
10 8 -
7 17 li
i; l :.
•"'
.-. .1
:.l 6] 12
1
13
17
i
in :» 11
8 ii :.
o a '.'
:.
7 l
52 62 6
!>
l »
D
16
in ia d
- 8 I
a o -j
5
:> -
.-.:<
H l
B
1 ' '
1
16
in i»; •_'
8 :» :»
0 s 7
.">
19 a
:.i
as 16
ID
14
B
7
in 19 l
- - ;.
0 11 1
5
II !•
55
64 Ii
A
11
19
11
11 9 11
- 11 »;
o 13 11
.">
17 -
56
88 7
ID
14
17
8
n 7 »;
- 11 7
8 16 i»
<;
,i »
"»7
6 1 8
7
18
1
-
11 M o
- 17 :•
»; i
»;
:t id
58
66 19
/
16
6
1
ii ia m
11 1 D
7 a 1 1
8
7 l
59
67 15
16
18
ID
H
11 17 1'
:» l 8
7 <; i
0
ll ii
60
»;> 12
•_»
18
18
.-.
19 1 7
:i -. .1
7 l' n
>•
it ll
61
!t
\r,
D
a
I 19 :. 7
:i ll !■
7 U li
8
62
70 .".
8
16
."»
•j
' 12 ID D
:• 1
7 1- 0
I
3 in
11
TABLE XIX.
Assurances on Two Joint Lives.
Showing the Premium required for securing a Sum payable on the
extinction of the first of Two Assigned Lives, according to the.
Northampton Table, at 3 per Cent.
Age.
A
nnual
Single
Annual
Premium
Age.
A
Pi
nuua
i
Single
Premium
Annual
Ol.ler.
Younger.
per Cent.
for £\ .
for £\.
Older.
«-»"
Pe
r Ce.
••
for £1.
for £1.
£.
s. d.
£.
S.
d.
14
14
3
3 2
.52030
.03159
27
22
27
4
4
0
3
4
10
.57961
.59008
.04015
.04193
15
10
3
1 1
.51177
.03053
15
3
5 0
.52731
.03249
28
13
3
13
11
.55925
.03696
16
11
3
2 8
.51831
.03134
18
23
3
4
18
1
4
10
.57353
.58407
.03917
.04090
16
3
6 11
.53458
.03345
28
4
5
6
.59470
.04274
17
12
3
4 5
.52499
.03219
29
14
3
15
8
.56496
.03782
17
3
8 10
.54162
.03442
19
-1
0
1
.57881
.04003
18
13
3
6 1
.53147
.03304
24
4
3
4
.58861
.04167
18
3
10 8
.54807
.03532
29
4
7
2
.59940
.04358
19
14
3
7 9 .53775
.03388
30
10
3
13
9
.55874
.03688
19
3
12 4
.55389
.03616
15
3 17
6
.57083 .03874
20
4
1
9
.58390
.04087
20
10
3
5 7
.52959
.03279
25
4
4
11
.59322
.04248
15
3
9 6
.54389
.03473 j
30
4
8
11
.60419
.04446
20
3
13 11
.55922
.03695
31
11
3
15
5
.56412
.03770
21
11
3
6 11
.53475
.03348
16
3
19
5
.57689
.03971
16
3
11 2
.54980
.03557
21
4
3
5
.58871
.04169
21
3
15 4
.56385
.03765
26
4
6
7
.59792
.04331
22
12
3
8 4
.53994
.03418
31
4
10
!»
.60905
.04537
17
3
12 9
.55538
.03638
32
12
3 17
2
.56980
.03858
22
3
16 7
.56805
.03830
17
4
1
5
.58289
.04070
23
13
3
9 10
.54528
.03493
22
4
5
0
.59338
.04250
18
3
14 4
.56072
.03718
27
4
8
4
.60269
.04418
23
3
18 0
.57232
.03898
32
4
12
8
.61401
.04633
24
14
3
11 5
.55077
.03571
33
13
3
19
0
.57564
.03951
19
3
15 11
.56579
.03795
18
4
3
4
.58869
.04169
24
3 1!
.57666
.03967
23
4
6
8
.59812
.04335
28
4
10
2
.60755
.04509
25 io
3
9 3 .54319
.03463
33
4
14
8
.61905
.04733
15
3
13 1
.55642
.03654
20
3 17 5
.57065
.03871
34
14
4
1
0
.58165
.04050
25
4
0 10
.5S106
.04040
19
24
4
4
5
8
1
6
.59427
.60295
.04266
.04423
26
3
10 9
.54830
.03536
29
4
12
1
.61250
.04604
16
3
14 10
.56224
.03741
34
4
16
<)
.62420
.04838
21
3
IS 11
.57521
.03944
26
4
2 4
.58553
.04115
35
10
15
3
4
19
3
5
1
.57693
.58783
.03972
.04154
27
12
17
3
3
12 3
16 7
.55370
.56800
.03614
.03830
20
-1
7
3
.59968
.04363
TABLE XIX.
I ices on 1 !
riug ilu- Prcuiium required i"i lecuriog a Sum payable «'n the
extinction of the first "i Two Assigned L • i ili<-
Nui ibamptoa I ible, ..i '■'• \>> i I
A— < il
Aona.l
Aaaaal
1'rcBiiiui
I'nuia
Ab*««.
Olarr
1 nmi-ui
|
Prrauuia
Pll niiuui
lor t\.
v— e
1*1 xi.
f. «. d
£. I.
</.
35
25 I lit 1
.04815
41
5 11
-
.6831 i
90 Ml 1
35 i 1- 11
.61753
.62944
.04703 ,.,
.04947
12
17
l 11
l 15
7
.61078
.04571
.04778
Mill
.58268
.04067
I 1-
11
04947
16 i 6 i
.04265
27
5 1
11
.05006
ji i B 2
,60484 .04458
32
."i r>
8
.64481 .05288
96 i 12 a
.61288
.04611
5 lo
16
.05542
31 4 16 2
.04806
12
:. 17
1 3
.63479
' 1 "
13
4 18
11
.61716
.04696
37 13
i a s
.58873 •'
18
J 18
• >
17
i 7 ;
5 1
3
.63475 .05062
■ <
i n i
.04553
6 4
1
.64168 .65216
27
in a
.04712 33
5 B
i
.65027 .05415
i i- i
.04915
.-> ia
.66112 .0 •
.( 5184
13
6 0
8
.67451 .0
38 13
1 :. 7
3 11
14
4 If,
7
16
4 B in
19
5 0
16
.05040
.
.
.61501
.04653
24
;, :<
-
.64018
.05182
28
4 16 1
I
.04817
•-".I
."i i ;
10
.64715
.05342
:. 0 7
.05029
5 M
o
s 6 a
.64583
.06311
80
.". 18
7
05$ 1
Mi
11
4 7 11
i
M
6 a
11
.68026 .(m;i:i7
19
» is a
.61271
15
16
I 16
11
62206
.04794
24
4 15 2
.04757
15
» 19
B
29
I 18 7
.62850
.04928
•_'M
.-, a
<;
.05173
34
."» 3 0 .638/1
.05149
.-» a
■>
.64571
80
11 .65153
.05446
86
:, B
•;
.05474
10
10
15
i 0 D
1 10 1
1517
:, 18
:. 19
0 7
10
0
4
.661 18
.67274
20 c .(
25 1 17 1 .62560
1 NJ
11
i 19
8848
30
5 nil
16 :. i
B
.63742
05120
86
:. B 6 64427
21 :. 8
•_>
10
5 11 0
.05588
10
.65135
.u., ill
81 :. 19
8
.0561 1
11
11
1 B 0 .60445
.(Ml". 1
86 "• i<;
10
i r, - i |
16
l IS 11 .61469
.04646
II
• ; 9
o
<;;-'..
06151
JI
1 16 9 .62400
,
li 10
11 >
26
1 10 7 U
:il
:, a
: 17
19
■ i
l
84967
17
."> ."»
7
II 2
TABLE XIX.
Assurances on Two Joint Lives.
Showing the Premium required for securing a Sum payable on the
extinction of the first of Two Assigned Lives, according to the
Northampton Table, at 3 per Cent.
Age.
Annu
al
Single
Annual
Age.
Annual
Single
Annual
Older.
Younger
I'm hi i u in
per Cent.
Premium
IbrjsBl.
Premium
for jtl.
1 Older.
Younger
Premium
per Cent.
Premium
for <£1.
Premium
for £1.
£. s.
d.
|
£. s. d.
1
47
22
5 8
10
.65137
.05442
52
17
5 18 7
.67050 .05927
27
5 11
7
.65709
.05581
22
6 19
.67638 .06088
32
5 15
2
.66418
.05760
27
6 4 4
.68099 .06218
37
6 0
0
.67317
.05999
32
6 7 8
.68672 .06385
42
6 6
5
.68459
.06322
37
6 12 2
.69407 1 .06608
47
6 14
9
.69818
.06738
42
6 18 3
.70352 .06911
48
13
18
5 4
5 8
6
9
.64209
.65120
.05225
.05438
47
52
7 6 1
7 16 8
•714S5
.72901
.07302
.07835
23
5 11
8
.65723
.05585
53
13
5 IS 1
.66959
.05903
28
5 14
7
.66296
.05729
18
6 2 4
.67739
.06116
33
5 18
4
.67008
.05916
23
6 5 2
.68237
.06257
38
6 3
4
.67920
.06167
28
6 7 10
.68696
.06392
43
6 10
0
.69057
.06500
33
6 11 4
.69270
.06565
48
6 18
10
.70440
.06941
38
6 16 0
.70012
.06800
49
14
19
24
5 7 10
5 12 0
5 14 9
.64918
.65789
.66323
.05390
.05601
.05736
43
48
53
7 2 3
7 10 6
8 1 7
.70948
.72098
•73499
.07113
.07526
.08078
29
5 17
8
.66894
.05885
54
14
6 1 11
.67669
.06096
34
6 1
7
.67612
.06080
19
6 6 2
.68413
.06308
39
6 6
11
.68536
.06344
24
6 8 9
.68845
.06436
44
6 13
9
.69667
.06689
29
6 11 6
.69301
.06575
49
7 3
2
•71075
.07157
34
6 15 1
.69876
.06756
50
10
15
20
25
5 7 10
5 11 3
5 15 4
5 17 10
.64919
.65635
.66439
.66923
.05390
.05563
.05766
.05893
39
44
49
54
7 0 1
7 6 6
7 15 3
8 6 8
.70626 .07003
.7)552 .07326
.72721 ! .07764
.74103 .0S334
30
6 0
11
.67495
.06048
55
10
6 2 8
.67802
.06133
35
6 5
0
.68217
.06251
15
6 6 1
.68396
.06303
40
6 10
7
.69155
.06530
20
6 10 2
.69078
.06506
45
6 17
9
.70279
.06887
25
6 12 6
.69463
.06625
50
7 7
7
.71705
.07381
30
35
6 15 5
6 19 2
.69915
.70491
.06769
.06958
51
11
5 11
0
.65584
.05550
40
7 4 4
.71251
.07218
16
21
5 14
5 18
10
6
.66349
.67048
.05743
.05926
45
50
7 11 0
8 0 3
.72164
.73344
.07551
.08014
26
31
6 1
6 4
1
3
.67512
.68084
.06053
.06213
55
8 12 1
•74714
.08606
36
6 8
6
.68813
.06426
56
11
6 6 8
.68502
.06334
41
6 14
4
.69758
.06718
16
6 10 6
.69139 .06525
46
7 1
10
.70882
.07090
21
6 14 2
.69725 .06708
51
7 12
1
.72309
.0/605
26
6 16 6
.70089 .06825
52
12
5 14
5
.66264
.05721
31
6 19 6 j.705391 .06974
TABLE XIX.
1 tfuf ft 1 DO J"iitt /./(.. >.
Shoving tin- Premium required tor Mcorimj •< Bum payable on n.-
extinction ol the / u rt >'i rwo Auigned Lives, KocordLng i" the
\. rthamj Ion 1 able, at :i pa tent.
A,..
\
-
Aaau.l
*P' A.D-.
Sid. It
rrcanvm
A....I
l't»l<a
I'rttu.uai
l'n»«a
UMn
•_*
■
1 OUn. ¥«H"- 1
•
for XI.
•
d.\
e. ,.
</.
ot>
36
7 3
:. .71117
.07171 <;" i" b ;t
1 7.(711 08168
il
7 -
11 71878 07111 '■"• • :»
0 74424 .08476
40
7 I.'-
lu .72786 .07796 56 - 18
•2 .,..;!.., .08907
:.i
:. .73959 .08272 :' B
11 76442
56
- 17
11 .75 .68884 M 4
- 77846 .16886
57
12
8 11
o .68226 .66552 <>1 H 7 -
0 .717."'^ .67466
17
G 15
•J .69882 .06758
10 7 11
In 72269 .ii7.">0l
'_'■_'
6 l-
4
.70366 .06916
21 7 15
0 72746 ' 17771
27
7 "
0
.70725 .07036
26 7 17
8 73020 .07883
32
7 :i
M
7117-' 07191
;u a 11
;» 73357 .08019
32
7 7
1 1
.7I7."-1 07398
.•(0 - 1
0 73794 .08202
12
7 13
7
.72507 07681
11 - :•
1 74380 .08456
17
9 0
II
.7.1417 08044
46 - 1".
0 75080 .08775
52
- in
in
.74571 .08541
Til 0 4
0 75999 09223
57
9 4
n
.75852
.09199
.-.0 !l i:>
01 10 12
in .77H70 .09793
0 78485 .10625
5ti
1.1
6 15
-
418864
.06785
l-
7 0
ii
.76615
.06999 02
r_> 7 18
0 72525 .1170—
•_'.•(
7 -'
!»
.71616 07136
17 7 17
11 .73053 .07896
28
7 :.
• >
.71370-07260
22 - 1
1 73438 .08053
83
7 -
.">
71-1 » .07421
27
."{ 73704 .n-ioi
7 12
U
.72306 07039
32 - 0
1 74037 .08305
l.i
7 18
7
.73138 .07930
.•(7 - :<
11 71171 .08496
i-
- o
8
.74057 08314
»_• - i:.
:i .7.">i'i- .08760
;,.'{
h 16
o
75189 .08827
17 :> l
11 75744 .09095
58
'.> 10
u
76579 .09523
52 0 11
57 in ."!
1 76638 .09555
-' 7771 1 .10157
•",.' »
11
7 8
8
,1171- .07034
62 11 i»
in .78126 .11041
Hi
7 B
0
71336 .07248
•_'l
7 7
:.
71675 .67370 63
18 s 0
1 .73818 .08003
2S
7 1"
0
.72023 .07498
l- - 1
:;i
7 18
4
72465 .07665
Si - 7
1 74152 .08355
88
7 17
11
.73050 .07895
28 - '•'
:, 71111 .08470
n
- 8
1 1
.7:(777 .08194
88
- 18
.7473a
- 12
1
74706 08603
8 10
4 75171 08818
54
:t 2
7
.75813 .09130
1 •:
:» 1
;i 757;J0 09088
58
'.» 17
i
.77211 09HJ*
u
:» -
11 76428 "'.Mil
53 :> 18
1 77295 09915
80
7 -'
-
.71012 07135
:.- In 11
11 7836H In."..'. 1
IB
7 6
1
.71486 .07302
63 11 in
0 78781
.11488
•jn
7 in
•>
.72648 .07507
28
7 12
1
;.: .07610 U 1
11 8 6
11 711-'.". '
7 1".
ii
J2686 .07751
19 - 11
.■ i:i .08503
7 I-
8
.73125 07925
84 - 18
7 74874 1
TABLE XIX.
Assurances on Two Joint Lives.
Showing the Premium required for securing a Sum payahle on Uie
extinction of the fiist of Two Assigned Lives, according to the
Northampton Table, at 3 per Cent.
Age.
Annual
Single
Annual
Age.
A
nuua
Single
Annual
Premium
Premium
Premium
Pi
Premium
Older.
tiL«*
per Cent.
for £\.
for ,*1.
Older.
Younger
P«
r Ceu
t.
for £1.
foriil.
£. s. d.
e.
S.
d.
64
29
8 15 11
.75127
.08797
67
57
ii
13
3
.80017
.11663
34
8 19 0
.75448
.08950
62
12
9
3
.81059
.12464
39
9 3 3
.75880
.09163
67
13
15
8
.82554
-.13782
44
49
54
59
64
9 8 10
9 16 5
10 6 0
10 19 6
11 19 10
.76421
.77122
.77957
.79025
.80458
.09440
.09819
.10301
.10974
.11992
68
13
18
23
28
33
9
10
10
10
10
16
0
3
5
8
4
it
5
<;
3
.77115
•77511
.77739
.77918
.78142
.09815
.10038
.10171
.10277
10412
65
10
8 11 2
.74606
.08557
3S
10
11
I]
.78441
.10598
15
8 14 5
.74961
.08720
43
10
17
0
.78836
.10849
20
8 18 7
.75407
.08930
48
11
3
7
.79331
.11179
25
9 0 8
.75621 1 .09035
53
11
12
3
.79950
.11614
30
9 3 2
.75S66 ! .09156
58
12
3
10
.S0715
.12190
35
9 6 4
.76181 .09316
»
63
13
1
0
.81753
.13050
40
9 10 10
.76G12
.09541
68
U
9
9
.83260
.14487
45
50
55
60
65
9 16 6
10 4 6
10 14 5
11 8 S
12 10 10
.77134
.77831
.78637
.79699
.81152
.09825
.10226
.10722
.11434
.12540
69
14
19
24
29
34
10
10
10
10
li)
6
10
13
15
18
3
9
1
3
0
.77975
.78347
.78528
.78699
.78916
.10311
.10539
.10652
.10761
.10902
66
11
8 18 10
.75426
.08940
39
11
2
0
.79211
.11098
16
9 2 7
.75812
.09129
44
11
7
1
.79587
.11356
21
9 6 4
.76183
.09317
49
11
14
2
.80080
.11709
26
9 8 4
.76378
.09417
54
12
3
0
.80665
.12152
31
9 10 10
.76616
.09543
59
12
15
2
.81416
.12760
36
9 14 2
.76925
.09710
64
13 13
8
.82449
.13683
41
9 18 11
.77350
.09946
69
15
5
1
.83968
.15255
46
51
56
61
66
10 4 10
10 13 2
11 3 6
11 18 7
13 2 8
.77857
.78535
.79325
.80377
.81851
.10241
.10657
.11175
.11930
.13135
70
10
15
20
25
30
10
10
11
11
11
14
17
1
3
5
?
6
6
.78601
.78842
.79176
.79322
.79486
.10698
.10854
.11074
.11173
.11285
67
12
9 7 2
.76265
09359
35
11
8
8
.79695
.11432
17
9 11 5
.76665
09569
40
11
12 10
.79988
.11642
22
9 14 6
.76957
09727
45
11
18
1
.80343
.11904
27
9 16 7
.77144
•09831
50
12
5
7
.80829
.12280
32
9 19 3
.77374
•09960
55
12
14
8
.81384
.12733
37
10 2 9
.77679
.10136
60
13
7
6
.82119
.13376
42
10 7 8
.78092
.10382
65
14
7
7
.83157
.14380
47
10 13 10
.78589
.10691
70
16
1
11
.84676
.16094
52
11 2 4
.79240
.11117
TABLE XX.
I iSk I N>
ring tin- Premium roqui • ; a Sum pa] iblc on tlic
extinotion of the last Surf ii I Lssignod [ires, aooordii
the Northampton Table, at •"> pei Cent.
A«c.
A
• D«U
Aaaaal
Af.
AUD..1
Praaiaa
Pnaiaa
f.rJM.
Auul
v«"f"-
1'rrmi'
par C«»i.
rr.mium
•
(—Ml.
Ot*K. \*mf
■ : t .
e.
>.
d.
£. *.
d.
1 1
ii
U
10 .26381 .01043
■27
22
1 7
05 .01371
I.", Ill 1
II
ii .25558 01000
27
1 9
;t .33415 .01 161
i;. i
1
G .26933 .0107
13
1 I
.'{ .29404 .01213
18
I 8
:t .31088 .01313
16 n i
0
6
.20084 .01027
23
l -
1 52552 .in 105
16 1
• >
1
57498 .01104
28
l 10
192 .01500
17
12 1
17 1
1
•>
g
56621 .01056
.28061 .01136 -•'
14
19
1 1
I 7
11 .29971 .01246
ii .31650 .01348
18
13 1
1
:i
.27161 .01086
24
1 8
1110 .01441
18
i
8
4
58612 .01167
28
1 10
;i .::r -_■
.01539
1!>
11
i
•_>
4 .27700 .01116
30
10
1 :{
7 56
.nll-ii
l:»
i
i
0 .29150 .01198
16
1 5
; 155 1
.01281
20
10
15
20
i
i
i
l
i
3
11
7
56745 .0
.•>_' H .01146
59679 .01229
20
26
1 7
1 !)
1 11
7 .:w<Nn
7 36183
.01384
.01479
.01581
21
11
16
21
i
i
i
1
10
<;
•>
961 .01091
.28787 01177
.30193 .01259
31
11
i<;
21
26
1 4
1 8
l -
1 in
8 .29378
4 ..'{ll 11
5 52770
1261
.01211
.01316
.01419
.01517
22
12
i
• >
."i
i .01119
31
I 12
6 .36798
I"
22
i
i
!
.i
10
507< - •'-
- .01149
12
17
i i
1 7
II .29942
l .31736
.01244
■i:\
13
i
9
0
...
1 !»
1 .3
.01456
18
4
10
• -. .01240
27
1 11
•_» .34856
.0155H
23
i
8
i
.31223 01
1 13
425
.01668
•J 1
Ii
i
:
1180 •;■;
l.i
1 B
r
19
i
r>
."»
50400 .01
18
1 7
01391
24
i
7
i
.3175.1 .01
1 9
10 .33!)t>2 ."1 11*3
25
li)
15
:
i
a
.27785 .01120
.2931)1 .01212
28
83
l 12
1 11
162
»
.01600
.01716
20
i
8
i
.30937 01304 :; |
11
l Q
i 31111
.01315
•j:.
i
7
o
.32296 01
19
i a
7 3291 :
.111 l.*.!
20
11
i
:{
o
g 01150
_M
i in
I 12
14485
11 300S1
.01644
If.
21
i
i
l
8
• 1)124.1
9 .31 170 0
1 16
3 .37721
.01764
28
i
*
01424 :;.",
10
15
1 i
in .
1 51716
01241
.01352
11
12
i
a
--,ii .nil-!
I :•
.01 167
17
i
.-.
; 3 i5-j i
TABLE XX.
Assurances on Last Survivors.
Showing the Premium required for securing a Sum payable on the
extinction of the Last Survivor of Two Assigned Lives, according to
the Northampton Table, at 3 per Cent.
Age.
Annual
Single
Annual
Age. Annu
1
Single
Annual
Fremirj
Premium
Premium
| Premii
Premium
Premium
Older,
Younger.
per Cei
t.
for £\.
foril.
Older,
Younger.! per Ce
ut.
for M\.
forj£l.
£. *.
d.
£. s.
d
35
25
1 11
6
.35081
.01573
41
41
2 3
5 .42698
.02170
30
35
1 13
1 16
9
4
.36715 .01689
.38389 1.01815
42
12
17
1 7
1 10
61 .32102
3 .34155
.01376
.01511
36
11
1 5
6
.30444 .01275
22
1 12
9 .35983
.01636
16
1 7
11)
.32334,-01391
27
1 15
4 .37751
.01766
21
1 10
2
.34080 .01506
32 1 18
2 .39604
.01910
26
1 12
4
.35689 .01616
37 1 2 1
4 .41519
.02068
31
1 14
9
.37360
.01737
42 2 4
9 .43457
.02238
36
1 17
4
.39072
.01867
43
13 | 1 8
4! .32719
.01416
37
12
1 6
3
.31033
.01310
18 ! 1 11
1
.34787
.01553
17
1 8
7
.32954
.01431
23
1 13
7
.36590
.01680
22
1 10
11
.34664
.01545
28
1 16
4
.38400
.01815
27
1 13
2 .36310
.01660
33
1 19
4
.40296
.01966
32
1 15
9 .38019
.01786
38
2 2
7
.42257
.02131
37
1 18
5
.39769
.01922
43
2 6
•_»
.44223
.02309
38
13
1 6
11
.31633
.01347
44
14
1 9
•2
.33348
.01457
18
1 9
5
.33569
.01471
19
1 11
11
.35409
.01596
23
1 11
9
.35258
01586
24
1 14
6
.37208
.01726
28
1 14
2! .36944
.01706
29
1 17
4
.39062
.01866
33
1 16
9 38692
.01837
34
2 0
6
.41004
.02024
38
1 19
7
.40480
.01981
39
2 4
0
.43008
.02198
39
14
1 7
9
.32248
.01386
44
2 7
9
.45006
.02386
19
1 10
3 .34178
.01512!
45
10
1 7
3
.31905
.01364
24
1 12
7\ .35864
•01628
15
1 10
0 .33992
.01500
29
1 15
1 .37591
.017541
20
1 12
10! .36029
.01640
34
1 17 10! .39379
.01891 !
25
1 15
5 .37838
.01772
39
2 0
10 .41206
.02041
30
1 18
5! .39737
.01920
40
10
15
20
1 6
1 8
1 11
1 .30913
6 .32876
l1 .34787
.01303
.01426
.01553
35
40
45
2 1
2 5
2 9
8 .41725
4 .43776
3 .45803
.02085
.02267
.02461
25
1 13
6 .36483 .016731
46
11
1 8
l1 .32502
.01402
30
1 16
1 1.38250
•01304
16
1 10
11 .34650
.01544
35
1 19
0 .40082
.01948
21
1 13
8 .36640
.01684
40
2 2
1 .41948
.02104
26
1 16
5 .38480
.01821
41
11
16
21
26
1 6
1 9
1 11
1 14
9 .31498
4 .33515
11| .35386
4 .37112
.01339
.01468
.01595
.01718
31
36
41
46
1 19
2 3
2 6
2 10
6 .40426
0 .42462
10; .44554
10 .46618
.01976
.02149
.02340
.02543
31
1 17
2 .38922
.01856
47
12
1 8
10 .33122
.01442
36
2 0
2 .40794
.02006
17
1 11
91 .35307
.01589
TABLE XX.
/ S i
Sltowins: th<. I'nmium reqMI I | ■ .' Mt M tin-
extinction of tin- last Survivoi of Two Assigned Uvcs, according to
tin- Northamptoa Fable, it 3 |>rr OflMt
A,,.
Ann..
S>.»l.
Aanail
An.
Ano«.
.
Aa»«l
•
I'rmjium
f*r Unl.
Pmnium
PtntM
■to 41.
ou»
. .
I'mamm
I'naian
(Mil.
l.r4l.
& •».
,l.
& *.
./.
47
22
i ii
7
.37250
91728
52
17
1 13
4
.38401 01888
87
1 17
:, .39135
.01872
22
1 10
.■>
3m:.:. .01819
32
B 0
- .41188
02034
27
1 IS
7
.40452 .01978
37
2 4
j 13213
.02216
38
2 3
-
.42580 .02160
42
1 -
4 .1
.02416
37
1 7
■
.44829 .02306
47
2 12
7 47448
.08638
a
2 12
"
47158 .02588
48
13
18
1 B
1 12
- .83756
- 15056
.01484
.01635
47
89
2 17
3 2
I
7
48487 .02853
.".1777 .03127
89
1 15
o .37-71
iH77.-»
.-,:;
13
1 11
0
.3172.". .01580
88
1 18
6 .39802
.01925
1-
1 14
1
.37066 .01715
2 1
11 .41845
.02096
23
1 17
1
-
I :,
9 .1
88
1 n
-
41121 .(12(131
13
1 !l
11 10U7
.02495
33
2 4
0
.43302 .02224
18
1 n
:. .48204
.02720
2 -
10
.45605 .02441
49
18
84
l in
1 13
1 10
7
7
6
34403
.36596
.38602
.01827
.01681
.01823
IS
18
■
2 13
2 1!)
3 1
:»
1
in
47975 .02686
.02954
.V_'072 .03241
8B
1 18
7 .40483
.01881
•)l
14
1 11
11
.353841 .01584
31
1 8
8 -42574
.02159
IB
1 I.'.
3
.37700 .111702
SB
1 7
■ >
.44759
.02359
84
1 1-
4
.38708 .01918
41
8 11
7
.46064
.n_':>7!»
88
I 1
10
1 l-i 13 .02092
IB
I 10
1
48156
,02815
84
2 ;.
10
ll"..- .02292
.">()
10
15
20
as
1 8
1 11
1 It
1 17
0
.">
7
0
.35063
.37228
.39144
.01 125
.01572
.01727
.01873
1
ii
IS
54
•J M
I I.",
3 1
3 7
.1
0
•j
a
.46397 02521
.02776
51238 ■ 1
233583
30
2 .1
9 41172
.02038
■') ■')
10
1 :»
7
31711 in i-l
SB
1 1
o
.43316
02225
15
1 12
16
.36048 .01641
M
1 -
B
. 15553
1 10
• >
: 01810
18
a 13
4
.477!>:>
.02666
l IS
8
.40356 01969
88
1 18
4
50027
.02816
1 3
1
02152
51
11
10
21
96
31
1 9
1 12
1 5
1 1-
■_> a
13486
:, .35733
o .37845
0
ii .41871
.01464
.01619
11177.:
.01825
.02098
18
4:>
1 7
2 12
2 17
3 3
. > •
3
1
8
:.
In
14787 02362
02004
02872
.52134 .03172
.54509
30
i t
11 .44066
,02294 56
11
l IS
:.
01522
41
8 18
1 40352
02516
10
1 13
in
■ 01682
JO
B 18
•>
02757
21
1 17
■ •
.-..". 0 1 «s
.".I I M
.">
..->n-:<-
.03018
88 I ii
8
41003
52
12 i 1 If
1
.3111-1
01608
. . i I »
i
■
TABLE XX.
Assurafices on Last Survivors.
Showing the Premium required for securing a Sum payable on the
extinction of the last Survivor of Two Assigned Lives, according to
the Northampton Table, at 3 per Cent.
Age.
Annual
Single
Annual
Age.
Annua
i
Single
Annual ,,
Premium
Premium
Premium
Premium
Premium
Older.
Younger.
per Cent-
for £}.
for £l.
Older.
Younger. per Cei
t.
for^l.
(or £\.
£. s. d.
£. s.
d.
56
36
2 8 9
.45549
.02436
60
40
2 15
5
.48738
.02769
41
2 13 10
.48019
.02690
45
3 1
7
.51393
.03079
46
2 19 6
.50518
.02973
50
3 8
8
.54119
.03435
51
3 5 9
.53035
.03289
55
3 16
(J
.56779
.03826
56
3 12 6
.55451
.03625
60
4 5
1
.59373
.04256
57
12
1 11 4
.34963
.01565
61
11
1 11
6
.35117
.01576
17
1 14 10
.37410
.01740
16
1 15
2
.37647
.01758
22
1 18 1
.39568
.01906
21
1 18
9
.39981
.01939
27
2 1 7
.41667
.02080
26
2 2
5
.42120
.02119
32
2 5 7
.43921
.02281
31
2 6
7
.44433
.02329
37
2 10 3
.46326
.02514
36
2 11
6 .46920
.02574
42
2 15 7
.48844
.02781
41
2 17
3| .49564
.02862
47
3 I 7
.51396
.03079
46
3 3
10 .52272
.03190
52
3 8 3
.53948
.03412
51
3 11
4i .55043
.03566
57
3 15 5
.56408
.03769
56
61
3 19
4 8
7
10
.57753
.60391
.03981
.04441
58
13
1 12 3
.35614
.01611
18
1 15 10
.3S075
.01790
62
12
1 12
5
.35759
.01621
23
1 19 1
.40192
.01956
17
1 16
2
.38334
.01810
28
2 2 9
.42341
.02139
22
1 19
9
.40591
.01989
33
2 7 0
.44652
.02349
27
2 3
6
.42783
.02177
38
2 11 11
.47116
.02594
32
2 7 11
.45151
.02397
43
2 17 6
.49679
.02875
37
2 13
1
.47701
.02656
48
3 3 10
.52290
.03191
42
2 J9
2
.50399
.02959
53
3 10 10
.54877
.03542
47
3 6
1
.53164
.03306
58
3 18 5
.57381
.03921
52
3 14
1
.55976
.03703
59
14
19
1 13 2
1 16 10
.36278
.38724
.01658
.01840
57
62
4 2
4 12
11
9
.58741
.61424
.04146
.04637
24
2 0 2
.40825
.02009
63
1 13
4
.36416
.01668
29
2 4 1
.43028
.02202
18
1 17
3 j. 39004
.01862
34
2 8 5
.45396
.02421
23
2 0
10 .41211
.02041
39
2 13 7
.47920
.02679
28
2 4
9 .43456
.02238
44
2 19 6
.50529
.02974
33
2 9
5
.45884
.02469
49
3 6 2
.53200
.03310
38
2 14
10
.48496
.02742
54
3 13 7
.55820
.03680
43
3 1
3 .51243
.03061
59
4 1 8
.58369
.04083
48
53
3 8
3 17
71.54075
01. 56927
.03429
.03849
60
10
1 10 8 .34501
.01533
58
4 6
6 ! .59748
.04323
15 1 14 21.36956
.01707
63
4 17
0 .62481
.04850
20 1 17 10 1 .39362
.01890
25
2 13 .41468
.02063
64
14
1 10
4J.37086
.01516
30
2 5 3 .43725
.02263
19
1 18
3 ;. 39656
.01913
35
2 9 11 .46151
.02496
24
2 1
11 .41841
.02095
TABLE XX.
Assurances on Last Survivors.
Showing tlic Premium required t"i Mooring i Sum payable on the
extinction of iii<- last Sorrhrof "i Pwo taaigni >l Lir< ■, according to
the Northampton Table, at .'• pei Cent
* ■
Aaaaal
-
i— i
■
Aaaaal
Siaclo
Aaaatl
..k~
Premium
par Ccol.
I'r« uiura
|ur xl.
I'rvDiium
•
i. .•
for Ml.
I'rrtniura
e. $.
./.
f.
.. ,/.
64
99
_* 8
0
.44139
.69801
<>7
57
4
10 7
80875
.04581
.-«
9 lo
ii
.46629
.09544
89
.">
8 :<
.63929
.05162
89
2 16
B
.49305
.02832
07
B
17 7
.66871
05879
44
18
8 8
8 11
4
• >
52100
.549119
- - . . ■-
.03168
.03560
00
13
is
1
1
14 4
1- 7
..(7 11-'
.39929
.01718
.01928
5 i
J 0
t ID
.-» 1
1
.53 £91
.ii 1004
.04512
.05078
as
•_>
9 6
.42118
.02119
58
64
.'{
.iiii77"
.63559
98
a
8 7
11112
.02330
7
38
•j
11 7
. 16973
.02590
65
10
1 11
7
.35186
.01581
38
2
17 7
.48720
.02980
15
1 15
4
.37770
.01767
43
a
l B
.52630
.03236
80
l 19
1
.40293
hi :><;:.
48
a
13 9
..">."> 1 rti."i
.u;{<;.->7
.';,
a a
ii
.49479
.02151
58
4
a ii
..w;.">
.04150
90
-' 7
1
.44834
.02367
58
4
11 7
.61894
.04731
_' 12
6
.47385
.02623
0 ;
6
b a
.65012
.05412
10
2 18
7
.50129
.02927
68
6
a a
.06188
IB
50
8 r,
8 18
,'.
.52973
.5593 1
.03280
.03696
\l
1
1
IB l
1!' 7
87781
. 10473
01768
.01980
53
00
89
» a
i u
B 6
5
;;
.58874
.61810
.64646
.04169
.04714
.06396
94
2!>
•_>
a
a a
7 11
18 -J
.42732
.47.1 12
.47705
.02173
.02394
.02657
66
11
1 19
8
, 5813
.01695
89
• >
19 8
.50519
.02973
16
1 16
5
38468
.01881
ii
3
7 '»
.53479
81
a o
i
.40908
.02016
18
8
15 11
."ii ;.".-';
.03796
98
2 4
•>
.43195
.02208
54
4
8 ."I
.59729
04320
81
a -
B
. 15537
.02435
;.:»
1
1- In
04943
86
a ii
l
.48152 .02705
64
.">
18 7
.66107
05681
11
:< o
8
.50958 .03026
69
6
16 8
.68133
.06523
16
;.l
56
a to
i <;
ii
in
53858
.56870
.59867
.03399
.03840
.04345
7n
M
i:»
90
.
i
•>
i a b
n; ;.
.35775
11098
.01699
01820
61
i l-
,
.62*63
.04930
95
■_>
: 7
1
66
:> n
10
.65752
.o:> :>:)•_'
SO
•>
:» a
15789
<>7
19
1 13
."»
36456
.01671
:..->
• »
u a
.49445
.02737
i;
1 17
<;
.39159
.01874
m
a
l :.
.51327
0 ."71
_>-_>
2 1
4
.41509
.02067
18
a
!» 1
.54339
87
9 5
4
02269
50
8
1- In
.57510
89
2 In
1
16252
02506
."p.'i
i
in 0
80701
04499
87
a is
10
.49930
.02790
60
.'
:, :.
1
05170
19 8 9
7 51799
.03129
6
19 :.
67215
05971
i; 8 lo
8 .54756
.03524
8
17 -
7, ij,-, i .m;--.
59 8 19
10 .57811
03901
I 9
TABLE XXI.
Survivorship Assurances.,
Showing the Premium required to secure a Sum payable on the death
of A, provided he dies before B, according to the Northampton
Table, at 3 per Cent.
r— * ■■- — ■
Age of
Annual
Single
Annual
Age of
Annual
Single
Annual
A.
B.
per Cent.
for M\.
for £\.
A.
B.
per Cent.
£. s. d.
Premium
for £1.
Premium
for £1.
£. s. d.
14
14
1 11 7
.26016
.015S0
17
12
1 15 0
.28563
.01751
19
1 11 0
.24582
.01549
17
1 14 5
.27082
.01721
24
1 10 4
.23418
.01518
22
1 13 10
.25794
.01690
29
19 9
.22191
.01486
27
1 13 2
.24577
.01657
34
19 0
.20843
.01451
32
1 12 5
.23231
.01622
39
18 4
.19361
.01415
37
1 11 9
.21749
.01586
44
1 7 7
.17783
.01377
42
1 11 0
.20130
.01548
49
1 6 9
.16097
.01336
47
1 10 2
.18430
.01509
54
I 5 11
.14369
.01295
52
19 5
.16625
.01470
59
1 5 0
.12566
.01250
57
1 8 7
.14772
.01429
64
1 3 11
.10635
•01197
62
1 7 8
.12812
.01385
69
12 9
.08591
.01136
67
1 6 9
.10701
.01336
74
I 1 4
.06595
.01066
72
1 5 7
.08528
.01279
79
0 19 8
.04824
.00984
77
1*4.3
.06540
.01214
84
0 18 0
.03325
.00898
82
1 2 7
.04618
.01130
15
10
1 13 1
.27738
.01655
18
13
1 15 11
.28906
.01797
15
1 12 6
.26366
.01625
18
1 15 4
.27404
.01766
20
1 11 11
.24959
.01594
23
1 14 8
.26162
.01735
25
1 11 3
.23796
.01563
28
1 14 0
.24905
.01701
30
1 10 7
.22531
.01529
33
1 13 4
.23516
.01665
35
1 9 11
.21141
.01494
38
1 12 7
.21984
.01628
40
1 9 2
.19609
.01457
43
1 11 10
.20328
.01590
45
18 4
17995
.01418
48
1 11 0
.18572
.01551
50
1 7 7
.16261
.01378
53
1 10 3
.16738
.01511
55
1 6 9
.14500
.01336
58
1 9 5
.14833
.01470
60
1 5 10
.12637
.01291
63
1 8 7
.12817
.01427
65
1 4 9
.10652
.01239
68
1 7 7
.10650
.01379
70
13 7
.08559
.01178
73
1 6 6
.08449
.01325
75
12 2
.06548
.01108
78
1 5 3
.06467
.01262
80
10 5
.04724
.01022
83
1 3 7
.04546
.01181
16
11
1 14 1
.28166
.01703
19
14
1 16 9
.29193
.01839
16
1 13 6
.26729
.01673
19
1 16 2
.27695
.01808
21
1 12 10
.25379
.01642
24
1 15 6
.26474
.01776
26
1 12 2
.24197
.01610
29
1 14 10
.25177
.01741
31
1 11 6
.22893
.01576
34
1 14 1
.23742
.01704
36
1 10 10
.21457
.01540
39
1 13 4
.22157
.01666
41
1 10 1
.19880
.01503
44
1 12 7
.20463
.01627
46
19 3
.18226
.01464
49
1 11 9
.18648
.01588
51
1 8 6
.16454
.01424
54
1 11 0
16783
.01548
56
17 8
.14650
.01383
59
1 10 2
.14826
.01507
61
1 6 9
.12737
.01338
64
1 9 3
.12753 !
.01464
66
1 5 9
.10690
.01287
69
1 8 4
.1053l|
.01417
71
1 4 7
.08552
.01228
74
1 7 3
.08316
.01364
76
1 3 2
.06552
.01160
79
1 6 1
.06311
.01302
81
116 .04670
•01074|
84
14 6
.04490 .01226
TABLE XXI.
Bkowiog Ui'1 l*i « iiiiuiu iMHtrcd t" secure a Sum payable ou the
• li-a'.li (it I. provided lie dies Intun />'. . | Iffdiag tu DM Nmlliaiuptuii
Tabic, at :: pel CflOt
*,. o.
Annul
Sb>(U
A nnn. 1
A,, of
Anni.l
>IHlU
Ac... 1
A.
B.
Pnnwn
for jtl.
I'rvmlum
A. ! />•
wr Cent.
lor «l
l«ll.
!
£ *. d.
& /. ,i.
•Jo
10
11- 9
.30838 01
23
13
9 o 4 .31470
.02010
u
1 17 7
.29430 .018/U
18
1 19 8 .29910 .01983
ao
1 17 ii
.27902 .01*48
23
1 19 0 .28617 .01949
SS5
i io a
.26743 .01814
28
1 Is 3 .27288 .01911
30
1 l:. 7
.•_'.". im .01778
1 17 5 .25801 .01870
30
1 11 in
.23920 .ol7»o
38
1 16 7 .24147 .01827
k»
1110
.22277 01701
4.<
I 15 8 .22354 .01783
16
1 13 3
.20643 .01001
48
1 14 9 .20446 .01737
50
l 19 ;,
.18672
.01020
53
1 13 10
.1*450
.01692
.">.">
1 11 7
.10770
.01580
58
1 19 11
.10377
.01046
60
1 10 8
.14701
.01538
63
1 11 11
.14107
.01596
66
1 :• 11
.12623
.0141)5
88
1 11 0
.11843
(H550
70
1 9 0
.10364
.01448
1 111
.09165
.01497
73
1 7 11
.n-1 it
.01397
78
i - :•
.07323
.01 139
80
l o 8
.0010-'
.01336
83
1 7 4
.01800
•Jl
11
1 IS 11
.31084
.01846
2 1
1 i
2 1 1
.81069
10
1 IS 4
.29601
.01915
19
2 0 5
.,'{01 05
.011(19
Jl
1 17 6
.28193
.01883
24
1 19 8
.01984
BO
1 17 (»
.20951
.01848
98
1 1- 11
.27458
.01944
:;l
l it; -2
,2566a
.01810
34
1 18 0
. 259 io
.01901
l l 5 5
.24026
.01771
88
1 17 1
.24202
.01860
41
1 M 7
.22331
.01730
ii
I 10 9
.22361
.01810
10
1 10 0
.2064A
.01089
49
1 16 8
.20383
,01703
:,1
1 19 11
.01047
54
111 I
01715
60
1 19 1
.10079
.01005
l 18 4
.10211 .01067
oi
i ii a
.14014
.01509
04
1 19 4
.01618
80
1 10 4
.19400
.01517
09
1 11 4
.11644 .01660
71
1 9 5
.10096
.01409
74
1 10 3
.09150 .01511
70
1 8 4
.07914
.01417
78
1 9 0
.01449
81
1 7 1
.01354
84
1 7 0
.00094
0137D
•22
12
1 19 7
81278
.Ol'.MI
M
10
•J 2 0
.33293
.09123
17
l 19 0
.29744
.01949
u
2 1 10
.31840
02091
89
1 IS 4
.28403
.01916
98
2 1 2
27
1 17 7
.27119
.01879
L'5
| 0 5
.29064
.02020
89
l io 10
.•_':.<;-_'
.01840
1 l!i 7
.27631
.01978
:<7
l M ii
.24090
.01799
;<5
1 1- -
.20031
.01934
»-'
l L| I
22342
.01756
40
1 17 '.»
.24250
.01887
17
in a
.20602
.01713
45
1 10 !»
69
1 1.1 6
. 1 85 1 l
.01009
50
1 i:. :»
01789
.-.7
l 19 0
.10639
.01025
68
ill :>
18237
.01738
09
1 11 7
14410
.01580
80
1 11 B
.01689
87
1 lo 8
.12130
.01633
68
1 19 '••
.13701
.01637
79
1 9 G
09782
.01483 i
70
111 B
.11235
01583
77
1 8 7
07627
.01429 '
l L| »;
-J
1 7 8
05518 .01300
H
i i» 1
-
in 168
TABLE XXI.
Survivorship Assurarices.
Showing the Premium required to secure a Sum payable at the
death of A , provided he dies before B, according to the Northampton
Table, at 3 per Cent.
Age of
Annua
i
Single Aunual
Age of
Annua
Single
Annoal
A.
B.
Premium
per Ceut.
Premium Premium
for=ei. for ill.
A.
B.
per Cent.
for£l.
for jBI.
£.
s.
d
1
£. s.
d.
26
11
2
3
3
.33558 '.02164
29
14
2 5
11
.34304
.02296
16
2
2
7
.320281.02131
19
2 5
3
.32704
.02262
21
2
1
11
.30571 ! 02096
24
2 4
6
.31403
.02223
26
2
1
2
.292771-02057
29
2 3
7
.29970
.02179
31
2
0
3
.278031.02014
34
2 2
7
.28329
.02129
36
1
19
4
.26145 ' .01967
39
2 1
6
.26473
.02076
41
1
18
4
.24302
.01918
44
2 0
5
.24467
.02020
46
1
17
4
.22366
.01868
49
1 19
3
.22300
.01962
51
1
16
4
.20258
.01816
54
1 18
1
.20061
.01903
56
1
15
3
.18117
.01764
59
1 16
10
.17706
.01843
61
1
14
3
.15851
.01711
64
1 15
8
.15214
.01782
66
1
13
2
.13435
.01657
69
1 14
4
.12563
.01718
71
1
12
0
.10917
.01599
74
1 13
b
.09939
.01651
76
1
10
9
.08551
.01539
79
1 11
7
.07579
.01580
81
I
9
4
.06297
.01467
84
1 9 11
.05446
.01496
27
12
2
4
1
.33807
.02206
30
10
2 7
7
.36038
.023/9
17
2
3
6
.32223
.02173
15
2 6
11
.34552
.02345
22
2
2
9
.30842 -02137
20
2 6
2
.32987
.02309
27
2
1
11
.29505
.02096
25
2 5
5
.31692
.02269
32
2
1
0
.27977
.02051
30
2 4
(1
.30210
.02223
37
2
0
1
.26256
.02002
35
2 3
5
.28506
.02171
42
1
19
0
.24356
.01951
40
2 2
4
.26578
.02115
47
1
17 10
.22287
.01893
45
2 1
1
.24516
.02056
52
1
16
11
.20200
.01844
50
1 19
11
.22274
.01996
57
1
15
10
.17989
.01790
55
1 18
8
.19982
.01935
62
1
14
8
.15655
.01734
60
1 17
5
.17550
.01871
67
1
13
7
.13156
.01677
65
1 16
1
.14968 .01806
72
1
12
4
.10593
.01616
70
1 14
9
.12250 .01739
77
1
11
1
.08252
.01553
75
1 13
5
.09620 .01669
82
1
9
6
.05967
.01476
80
1 11
10
.07212 .01592
28
13
2
5
0
.34057
.02251
SI
11
2 8
7
.36366 .02430
18
2
4
4
.32448
.02216
16
2 7 11
.34796 .02395
23
2
3
7
.31119
.02179
21
2 7
2
.33307
.02359
28
2
2
9
.29736 .02137
26
2 6
4
.31988
.02317
33
2
1
9
.28152
.02089
31
2 5
5
.30452
.02269
38
2
0
9
.26366
.02038
36
2 4
3
.28685
.02214
43
1
19
8
.24413
.01984
41
2 3
1
.26688
.02155
48
1
18
7
.22327
.01929
46
2 1
11
.24561
.02094
53
1
17
6
.20134
.01873
51
2 0
7
.22256
.02031
58
1
16
4
.17852
.01816
56
1 19
4
.19894
.01967
63
1
15
2
.15441
.01758
61
1 18
0
.17386
.01901
68
1
13
11
.12862
.01697
66
1 16
8
.14709
.01832
73
1
12
8
.10265
.01634
71
1 15
3
.11928
.01761
78
1
11
41.07934
.01567
76
1 13
9 .09321
.01688
83
1
9
8|.05663
.01484
81
1 12
1 .06854
.01604
TABLE XXI.
Sutvivortkip Aumrancet.
Showing tin- Premion required to leouic i Baa payable <>u the
death <>f I. proridk >l be dii 1 i" (ore J>. aooordiag to the Northampton
Fable, at 3 i" i Cent
A,cl
Anna.
MbjU
A.inu.l J
a,. »r
Anon.l
Anneal
.4.
B.
I'ita.,un>
p«r i"«nl.
I'f t miuai
it Ml. i
A. B.
£ .
,/.
e. <. d.
32
12 _• B
8
.02484
35 10 2 13 11 .30157
17 9 9
0 .3
.02448
15 2 13 2 .37643 .02660
aa a 8
3 ..'{.' 1655
.02411
20 2 12 6 •'<*'<' » 1- .02623
27 -' ;
4 .32293 .02367
85 2 11 B .34755
.02582
32 •_* r,
1 .30701 .02317
30 2 lo s .:{.{•_' is
.112:,: t2
37 a s
2 .28865 .02259
35 2 :» *; .31472
.02474
42 2 4
<> .26803 .02198
40 2 s •_• .29411
.02408
47 a •-■
s .24603 .02134
47. 2 6 :' .27169
.02338
52
2 1
4 .22243 .02068
:,n 2 :. w
.2170.-,
.02264
57
2 1)
0 .19801 .02001
55 2 :< :»
.22172
.02189
82
1 18
7 17212 .01931
68
2 2 :i
.19474
.02111
«7
1 17
2 I 1437 .01859
65
2 0 7
.16594
.02029
73
1 15
B .11599 .<»17-l
70
1 1- 11
.13556
.01945
77
1 14
1
09013 .i»17i»<;
7"»
1 17 2
.10622
.111 -:.7
aa
1 12
1
.01616
•Ml
l l;, ;<
4)1761
.33
la
2 10
10
.37001
.02540
36 n
2 la a
.39565
.02761
l- a i<»
1 .35353
.02503
i.;
2 11 8
.37963
.02725
aa a :>
1 .34011 .02465
21
2 13 0
.36457
.02687
as
% -
.1 .32603
.02420
20
9 12 11
.35142
.02644
aa
9 7
4 .30953
.02367
31
2 11 10
.33582
-
2 8
•_> .29046 .02307
2 16 7
.31740
.02531
i3 a 4
in .26926 .02242
41
2 :» ;i
.29604
.02463
|fl a :<
6 .24639 .02175
9 7 0
sa a a
1 .22221 .02106
:,1
2 o a
.24754
02312
66 2 0
9 19698 .02036
68
2 1 -
.22111
.02233
83
l 19
3 .17i»2i> .01962
01
2 a o
.19351
.02151
88
1 17
0 .14154 .01886
88
2 1 4
.16361
.02065
73
1 16
2 .11268
.01807
71 1 lo 0
.13244
.01976
78
1 ii
6 .08685
.01725
78 I 17 -
.10328
.01884
1 12
7 08188
.01628
Bl I 1". 7
.07689
01781
34
14
i ij
ii .37822
,02598
:',7 12 2 18 7
19
2 11
8
.35685
.02562
17 2 I.". 10
02793
24
2 10
.">
.34379
nj:,jj
aa 2 i:, i
:iimi>
02755
99
2 8
6
.32921
(ij 17 J
-7 2 11 •_'
.35543
02710
.{i
1 -
r>
.31210
.02419
39 2 13 1
. 02*156
88
2 7
1
2*f228
.02356
87 2 11 lo
32013
02592
41
2 :,
9
/27047
12 2 16 :>
48
2 t
.">
.24670
.02219
17 2 - in
271 n>
02443
:.l
2 2
11
.22201
.02147
2 7 :«
24811
1
2 1
I
.19589
2 :, 7
.22106
I
64
1 10
ll
.16817
.01995
2 :i in
»;:»
1 18
i
.13860
.01915
07
I | !
16118
.02103
74
l 16
7
.10939
.01831
79
1 0 1
1 7'J
l u
in
08317
.01743
77
ii- a
10028 .01913
M
i 19
,964 1 01644
l 16 0
:
TABLE XXI.
Survivorship Assurances.
Showing; the Premium required to secure a Sum payable on the death
of y4, provided he dies before B , according to the Northampton
Table, at 3 per Cent.
Age of
Annn
i
Single
Annual
Age of
i
nnual
Single Animal
Preroiu
Premium
Premium
p
emiu
m
Premium > Premium
A.
B.
per Cent.
for mu
for £1.
A.
B.
per Cent.
for^el. | for^El.
£. s.
d.
£.
S.
d.
1
38
13
2 18
1
.40369
.02903
41
11
3
3
8
.43208 .03182
18
2 17
4
.38689
.02865
16
3
2
11
.41589 .03144
23
2 16
0
.37354
.02826
21
3
2
1
.40079 .03105
28
2 15
7
.35953
.02779
26
3
1
3
.38794 .03062
33
2 14
5
.34279
.02722
31
3
0
2
.37248 .03008
38
2 13
1
.32291
.02656
36
2
18
10
.35383
.02943
43
2 11
7
.30022
.02580
41
2 17
4
.33157
.02867
48
2 10
0
.27529
.02499
46
2
15
7
.30680
.02781
53
2 8
4
.24867
.02415
51
o
13
9
.27908
.02688
58
2 6
7
.22066
.0232S
56
2
11
10
.25018
.02591
63
2 4
9
.19077
.02238
61
2
9
10
.21912
.02491
68
2 2 10
.15864
.02143
m
2
7
9
.18560
.02387
73
2 0
11
.12615
.02045
71
2
5
7
.15047
.02278
78
I 18
11)
.09708
.01943
76
2
3
4
.11742
.02167
83
1 16
6
.06896
.01824
8]
2
0
11
.08619
.02044
39
14
2 19
7
•40777
.02979
42
12
3
5
4
.43676
.03268
19
2 18
10
.39113
.02942
17
3
4
7
.41998
.03230
24
2 18
0
.37823
.02901
22
3
3
10
.40600
.03191
29
2 17
1
.36378
.02852
27
3
2
11
.39276
.03146
34
2 15
10
.34643
.02793
32
3
1
1(1
.37678
.03090
39
2 14
0
.32578
.02723
37
3
0
5
.35741
.03022
44
2 12
11
.30243
.02644
42
2
18
10
.33444
.02942
49
2 11
2
.27649
.02559
47
2
17
0
.30875
.02851
54
2 9
5
.24923
.02471
52
2
15
1
.28030
.02754
59
2 7
7
.22024
.02380
57
2
13
1
.25033
.02652
64
2 5
8
.18926
.02285
62
2 10 11
.21817
.02547
69
2 3
9
.15604
.02186
67
2
6
9
.18330
.02437
74
2 1
8 .12309
.02083
72
2
6
(5
.14729
.02323
79
1 19
6 .09351
.01975
77
2
4
1
.11435
.02206
84
1 17
1
.06690
.01855
82
2
1
0
.08244
.02075
40
10
3 1
11
.42717
.03097
43
13
3
7
2
.44131
.03357
15
3 1
•2
.41189
.03060
18
3
6
5
.42433
.03319
20
3 0
.->
.39579
.03022
23
3
5
7
.41121
.03279
25
2 19
7
.38310
.02980
28
3
4
8
.39756
.03232
30
2 18
7
.36815
.02929
33
3
3
<;
.38101
.03173
35
2 17
4
.35016
.02867
38
3
2
i
.36090
.03102
40
2 15
11
.32868
.02794
43
3
0
4
.33726
.03018
45
2 14
3
.30470
.02712
48
2
IS
6
.31050 .02923
50
2 12
0
.27777
.02623
53
2
If)
5
.28132 .02820
55
2 10
7
.24981
.02531
58
2
14
3
.25023 .02713
60
2 8
S
.21980
.02435
63
2
12
1
.21682 .02602
65
2 6
9
.18758
.02336
68
2
9
9
.18065 .02486
70
2 4
8
.15338
.02232
73
2
7
4
.14386 .02366
75
2 2
6
.12021
.02125
78
2
4
10
.11078 .02241
80
2 0
3
.08986
.02011
83
2
2
1
.07882 .02102
TABLE XXI.
N/// rirm Ju/i Assunm
Shownii: the Premium required to lecurc .1 Sum pay a bit un tl e doatli
"i I. provided ti,- ill, s u< :• /• • ■ >i . 1 ; nu i" ill-- Northampton
Table, ;it :j per Cent
At. .1
Au.u.l
p«r t rat
Aaaaal
Prr.- ,-,,„
lor 41.
A«. ol
.
a....:
1 />-
A.
/;.
l*r*a.iw«w
'"rata*
. d.
f.
/.
14 U 3 9 1 .44590
.03459 47
19
a i»;
2
19 3 8 3 .49913
.63413
17 1
15
4 -
94 8 7 :. .41657
.03372 22 3
14
7 -I
1
-".» 3 r, ;, .46248
.03322 27 -i
13
:i .43423
34 :i ;, a
-
.03261 39 a
19
7 41815
i a a :<
36445
i 37 3
11
1 .38907
.03556
u :t a i»
.34013 03088
!»
7585
49 a 0 (i
.31225 02888 : 47 3
7
.03369
54 -* 17 10
.u_'-. ii 52 a
."»
1 .31845
.63253
59 a 15 7
.25008
.62778 57 3
• »
7
64 1 13 9
.21537
.02660 62 9
19
11
81 i 16 :i
.17787
67 -
17
2 .21001
.02857
7 1 J
.1 1048
.ii_' 111
72 •_'
14
4 .16008
79 -' :. 7
.16671
.02277
77 8
11
4 .13137
.02568
-4 I J II
.07659
.69139
39 ■_'
-
u 0
.09401
IS 16 8 n in
.03590 i,,
1.; .
19
7 1
.03927
u a ii o
.45053
.03551
17
:i .
96 8 lo 3
.43435
.03512
16
n
16277
•J.-, A B 5
.42208 .03470
16
H
.43860
;{o :i - i
.46755 03418
1 1
in
.423/0
.03741
7 l
-,i .63354
13
i
.40381
in 8 S 8
36805
.03276
11
7
.3800/
18 s a -
.34306
.03183
9
.">
03470
:..» :i i 7
.31416
53 3
7
n .32077
:.:» J ;
4
» --
-
68 2 16 11
.2414S8
.02840
63 3
1
6 •_■
_' 1 1 :. . .
12722
-
18
- J08O4
76 -' 11 in .17500 .02593
73 •-
15
7.". -* 9 -' 13794 02460
78 -
12
7 -l -
_' 8 1 .16247
:i
1 99114
46 II 3 13 11 17IN
11 4
l
1 18821
16 -i 13 1 .45516
19
i
ii
3 .47141
21 3 1_' J .4401 1
J 4
8
1:»
26 3 11 8
a
19
6 1 ■
31 8 in 3
.41278 .03519
.44
17
1
8 !» 1
152
■
8
13
!i Ml
n a ,
it
13
in :.-
16 8 .". ii
.346U5
8
II
,
.-.i 8 a a
54
a
.i
3 i» in
50
I
61 9 18 i
64
8
8
j 15 g
:i
1
•
71 9 13 1
17-
71
• >
17
76 ■-' 16 3
79
>
13
-1 -' 7 1
-i
in
TABLE XXI.
Survivorship Assurances.
Showing the Premium required to secure a Sum payable on the death
of A, provided he dies before B, according to the Northampton
Table, at 3 per Cent.
Age of
A
nntia
Single
Annual
Age of
f
unnal
Single
Annual
A. \B.
Premium
per Cent.
Premium
fur £1.
Premium
for £ I .
A.
B.
per Cent.
for.*!!.
for MX
£.
S.
d.
£.
S. d.
50
10
4
4
6
.50891
.04225
53
13
4
12 11
.52703
.04646
15
4
3
9
.49374
.04185
18
4
12 1
.51001
.04604
20
4
2
11
.47767 1 .04145
23
4
11 4
.49788
.04565
25
4
2
1
.4«605 .04104
28
4
10 4
.48562
.04.118
30
4
1
1
.45221 .04052
33
4
9 2
.47045
.04459
35
3
19
9
.435 12 .03987
38
4
7 8
.45145
.04385
40
3
18
2
.41378 i .03907
j
43
4
5 10
•42816
.04292
45
3
16
2
.38868 i .03809
48
4
3 7
.40021
.04178
50
3
13
10
.35853 1 .03691
4
0 9
.36749
.04039
55
3
11
1
.32541 1 .03556
58
3
17 7
.33030
.03878
60
3
8
1
.28791 1 .03403
63
3
14 0
.28843
.03700
65
3
5
1
.24758 .03253
i
68
3
10 3
.24189
.03514
70
3
1
11
.20367
.03094
73
3
6 7
.19389
.03327
75
2
18
8
.16054
.02934
78
3
2 10
.15032
.03140
80
2
15
3
.12054
.02763
83
2
18 7
.10745
.02931
51
11
4
7
2
.51514
.04360
54
14 4
16 1
.53300
.04802
16
4
6
5
.49895
.04319
19
4
15 3
.51630
.04761
21
4
5
7
.48417
.04280
24
4
14 5
.50498
.04721
26
4
4
9
.47254
.04236
29
4
13 5
.49240
.04672
31
4
3
8
.45828
.04182
34
4
12 2
.47675
.04610
36
4
2
4
.44058
.04115
i
39
4
10 8
.45703
.04532
41
4
0
7
.41850
.04031
44
4
8 8
.43318
.04435
46
3
18
7
.39263
.03927
49
4
6 3
.40404
.04314
51
3
16
1
.36154
.03803
54
4
3 4
.37052
.04167
56
3
13
2
.32722
.03660
59
3
19 11
.33179
.03995
61
3
10
1
.28867
.03503
64
3
16 1
.28804
.03806
66
3
6
9
.24605
.03339
69 3
12 2
.23951
.03608
71
3
3
51.20070
.03172
74 3
8 2
.19043
.03410
76
3
0
1;. 157561. 03004
79 I 3
4 2
.14569
.03209
81
2
16
5 .11617'. 02822
84 2
19 11
.10490
.02996
52
12
4
10
0 .52108 i .04499
55 10 5
0 3
.55391
.05011
17
4
9
2 .50425 1 .04457
! 15
4
19 4
.53896
.04967
22
4
8
5 .490941.04419
20
4
18 7
.52307
.04927
27
4
7
6 .47900 .04373
25
4 17 9
.51226
.04886
32
4
6
4 .46429
.04317
30
4
16 8
.49934
.04834
37
4
4
111.44597
.04246
35
4
15 5
.48319
.04769
42
4
3
2; .42322
.04158
40
4
13 9
.46270
.04688
47
4
1
0 .39641
.04049
45
4
11 9
.43830
.04586
52
3
18
4 .36450
.03918
50
4
9 2
.40804
.04459
57
3
15
4 .32878
.03766
55
4
6 1
.37357
.04303
62
3
12
0 .28868
.03599
60
4
2 5
.33323
.04120
67
3
8
6 .24407
.03424
65
3
18 4
.28734
.03918
72
3
4
11 .19734
.03247
70
3
14 2
.23693
.03707
77
3
1
5 .15412
.03071
75
3
9 11
.18710
.03497
82
2
17
6| .11160
.02875
80
3
5 7
.14077
.03280
TABLE XXI.
Survivorship iisurtm
Showing the Premium required t" -<•■ are i Boa payable on the dealt
of i. provided he <ii«s before /*". eooerdinf i" the Northampton
'i ible, at :; per Cent
Af-i
.). .'•
56
Annaal S»ia;I»
frrmium
■
II
16
91
36
81
86
II
r. «/.
9 1"
8 1
Anaaal
f'rrmiuin
fur XI.
B 1
:» i»
i 18
4 17
3
7 l
, 14 11
.11
BO
4 19 3
» - 11
1
51 I
86 l ii 8
71 3 16 3
7<: 9 11 9
81 :< 7 l
.56004
.54489
53046
.61972
.50645
.48076
.46860
.44350
41237
.37665
.28645
.23417
.1-111
.13595
A|«a<
.05187
.05143
.05103
.05061
.05007
.04939
.04853
.04747
.04612
.04447
.04252
.04035
.03811
.03589
.03355
57
12
.">
7
6
.56807
.05376
17
.">
t;
7
.55110
.05330
82
.">
r>
In
.53834
.05291
87
:.
4
11
.05247
82
.">
3
10
.:.l.t71
.05190
37
B
• >
.".
.05119
12
:»
ii
7
17171
17
i
1-
»
.44879
.04917
B2
«
15
6
.41693
.04775
B7
i
12
ii
.37976
.04 100
*;j
i
/
In
.33596
.04391
87
4
Ii
•>
.28537
.04159
72
S
18
6
.23126
.03920
77 8
18
B
.18090
.03685
B2 8
-
- .13119
.03434
58 13
5
11
8 .57472
18
B
10
—
.55782
.05529
23
B
!»
10
.54639 .05491
28
."■
-
1 I
.53518
.05444
83 .'»
7
B
.52115
.05385
88 ."»
6
.)
.50330
,05310
1 . B
4
i
i-ll 5
.05217
18 B
• <
ii
15418
.05099
83
i
19
0
.42159
.04049
B8
i
IS
3 .:i-.'ill
.04762
63
i
10
!•
.33707
.04538
i
B
10
.28400
73
i
0
- 2.1
.04035
7-
3
l:.
- .17723 .<W7>
3
In
i
12689
1 1: ;.", 1 ;
ft
60
fil
per t cal.
c.
11 .-.
19 5
•_' 1 5
29 5
34 6
39 S
U B
1:1 6
s i ;>
:»:>
84
88
71
I
4
1
4
7:i 3
-1 :;
*. d
IB -
14 in
14 1
l.i 1
11 In
10 4
B 1
B In
•_' -
I- -
I . II
- 7
a 2
17 9
12 3
in 8 1
1 , 1 ; 0
B I 'i
25
SB
1 '
15
BO
55
65
7"
:, 18
:. 17
B Id
B 11
:. 12
B 10
5 6
6 2
I 17
l II
I B
-11 8 19 in
II 8 6 1
16 0 B l
•Jl 8 1 9
26 8 8 .">
81 8 9 B
96 8 I 0
11 B 19 1
16 B 17 -
B I 9 14 B
96 B I" 10
81 B fl 9
66 B 0 '•'
71 1117
76 1 - B
-1 19 "
Aaaaal
r>i»i.«
I'f.raiaai
.58152
.05784
.05742
.55464
.64317
.05655
.62876
.05593
.51026
.05515
.48770
.05417
. 15958
.05292
.42634
.05134
.38605
.04934
.33808
.04695
.28260
.04429
.22523
.04157
.1725/
.12449
.03611
.06050
.58849
.0601 1
.57287
.50308
.05930
.55136
.05879
.05814
.51734
.05732
1 r436
.05630
05504
.43120
.05331
.38923
.05117
.28091
.045/6
.16791
.61107
.50532
.58132
.57169
.559/1
54443
.501 16
17132
.4361 I
.39243
•
.27903
211*811
16249
.06253
06172
.06119
TABLE XXI.
Survivorship Assurances.
Showing the Premium required to secure a Sum payable on the death
of A, provided he dies before B, according to the Northampton
Table, at 3 per Cent.
Age of
Annual
Single
Annual
Age of
Annual
Single
Annual
A.
B.
Premium
per Ceut.
Premium
for £\.
Premium
for ,561.
A.
B.
Premium
per Cent.
Premium
for £1.
Premium
fur £\.
e. *. d.
-
e. *. d.
62
12
6 11 3
.61889
.06561
65
10
7 10 8
.65695
.07535
17
6 10 3 .60241
.06511
15
7 9 7
.64308
.07480
22
6 9 5.50028
.06472
20
7 8 8
.62784
.07435
27
6 8 7.58050
.06430
25
7 8 0
.61920
.07398
32
6 7 6.56825
.00375
30
7 7 0
.60899
.07350
37
6 6 li. 55249
.08303 i
35
7 5 9
.59587
.07286
42
6 4 3 .53231
.06214
40
7 4 1
.57855
.07205
47
6 2 0.50806
.06101 j
45
7 2 1
.55766
.07103
52
5 19 lj. 47770
.05956
50
6 19 6
.53073
.069/3
57
5 15 4| .44118
.05766 i
55
6 16 1
.49904
.06804
62
5 10 5 .39563
.05520 i
60 6 1 6
.45822
.06574
67
5 4 6
.33964
.05223
65
6 5 5
.40576
.06270
72
4 17 11
.27697
.04894
70
5 18 0
.34127
.05901
77
4 11 3
.21708
.04561 j
75
5 10 0
.27259
.05498
82
4 4 2 .15743
.04210 t
80
5 15
.20600
.05070
63
13
6 16 10 .62630
.Ofj'843
66
11
7 18 0
.66634
.07898
18
6 15 11 .61023
.06794 1
16
7 16 10
.65122
.07S42
23
6 15 2 .59985
.06759 !
21
7 16 0
•63777
.07800
28
6 14 3 .58971
.06712
26
7 15 3
.62943
.07761
33
6 13 1 .57718
.06654 '
31
7 14 3
.61906
.07711
38
6 11 7 .56094
.06580
36
7 12 11
.60564
.07645
43
6 9 9 54048
.064S6
41
7 11 2
.58791
.07560
48
6 7 4 .51534
.06368
46
7 9 1
.56666
.07454
53
6 4 4 .48452
.06215
51
7 6 4
.53931
.07318
58
6 0 3 .44661
.06013
56
7 2 9
.50680
.07139
63
5 15 0
.39895
.05750 |
61
6 17 11
.46447
.06894
68
5 8 7
.34017
.05430
66
6 11 4
.40926
.06568
73
5 1 7
.27521
.05078
71
6 3 6
.34196
.06173
78
4 14 4
.21411
.04718
76
5 14 10
.27236
.05742
83
|4 6 10
.15327
.04341
81
5 5 6
.20220
.05275
64
14
! 7 2 11
.63490
.07147
67
12
8 5 10
.67552 .08290
19
7 2 0
.61866
.07100
17
,848
.65964 .08233
24
7 1 3
.60920
.07062
22
8 3 11
.64827 .08194
29
;7 0 4
.59913
.07016
:ri
8 3 1
.63988 .08154
34
|6 19 1
.58631
.06955
32
i 8 2 1
.6293/ ;08102
39
i 6 17 7
.56953
.06877
37
,8 0 8
.61561 .08033
44
6 15 7 .54884
.06780
42
7 18 11
.59762 .07945
49
6 13 1
.52274
.06655
47
7 14 8
.57588 .07734
54
j6 9 11
.49153
.06495
52
7 13 10
.54833 .07693
59
6 5 7
.45217
j .06279
,
57
7 10 1
.51481 .07504
64
5 19 11
.40229
i .05990
62
7 4 10
.47095
.07242
69
5 13 1
.34058
.05652
i
67
6 17 10
.41277
.06891
74
5 5 6 .27353
.05274
72
6 9 4
j .34271
.06468
79
4 17 8 .21006
.04882
77
6 0 2
.27208
.06007
84
4 9 9 .15133
.04489
82
5 10 C
.19861
! .05501
TABLE XXI.
i oivoraftip AssurarKes.
Showing tlw Premium required i" leeara .1 Sum payable on the death
,i i, provided be dies b B, according lb the Northampton
I ible, a< 3 i ■• i i- nt.
Arawl
Prr»>iB
t -•
kfot
Annajl
rnaiHB
1.
tar 41. i
i. /;.
.
l«l
1
,. ,/.
. - I | 1 68471 .0871-1
71 11 in :. 7
72.". 11 1
1- 8 13 2 .66801 .08059
16 10 ! 1
71163 10218
8 12 5 .03HU7 '
21 lo ;i t
! .1017:1
28
s ii 7 .65050 .ii~:.- 1
26 lo -j |
69201 .10187
33
8 lo i; .63988
31 lo i ||
16 .10091
8 :» l .62577
in Q 7
1 , .10030
B 7 3 .60771
41 :» 19 1
.65715 0
18
8 4 11 .58526 .08247
it; 9 17 '
S3
8 2 o .55761 .08100
:.i 9 14 1
.61498 .09718
58
7 18 ii .52306 .07900
56 9 11 i
Hi 09550
63
; 1- :. .47736 .07620
6] 8 t; i
M918 09311
68
7 4 lo .41630 .0?243
66 8 in
:•■<
6 15 10 .34359 .06791
71 - In 1
78
6 ;. n .27132
7<; 7 19 ■-
10 .07959
."> 15 1 .21708 .05754
-1 7 8 I
69
11
U 3 99176
11 12 lo 17 :
19
B •_' 5 .67816
17 lo 16 1
.72052 .1
24
9 1 9 .66985 .09086
22 LO 18 -i
.71008 .10766
2<.»
i» (I 10 .66137 09043
27 1" l
' jo.ll'.i .10729
:j»
8 19 '.) .65056 .08987
:i2 in l.i 8 .69461 .10682
:io
s ]- :\ .63608 .08912
:i7 1" 12 J .68328 .10618
ii
B It; i .61900 .08818
12 1" In 8 .66802 .10534
IS
B 13 11 .59478 .08697
17 1" - -
1 '12-
:.i
s in 11 .5671 1 .08544
52 1" :.l
•;". .10295
.-.7 1" •-' •
2 lolly
64
8 ii 7.1-
f,j 9 17 •
1 .55821 .09864
»;:»
7 12 7 41984 07628
67 9 '.» 10 .50297 .o
;j
7 •-' 11 .344/6 .07145
72 :» o i
17 .H'.HHhl
79
6 12 2 26940 06607
77 - -
161 08420
84
6 on .21411 .00047
82 7 1 »
.' » l .07783
70
in
9 11 8 71527
73 is ii io
1 74408 11. '.11 »
15 '•> 13 *; 7"2-l
1- 11 Bill 72975 .11442
20
:» 12 6 68822
23 M B
1 .72117 111"'.
9 11 lo .68087 .09591
-- ll 7
1 71 183 11867
80
;> in 1 1 .<•: .
83 ll t;
;i il.fl-
85
9 y !» .66139 .09487
: i B
1 .69416 .11251
III
'.» 8 2 .64650
i. ll 8
1 .11165
»:. :» «; :t <: .
»- U 1
198 .1 1065
60 0 8 fl ':"i';' « * i * 1 — •
53 l" 1-
.".."i
'.» (i ii 57091 .0902*5
58 In 11
-
B 16 o .54027 .08800
.. In ;i
10459
8 9 7 .49029 .08478
■ ;- In l
10062
n
- ii 11 I
B In
75
7 in .07533
- l-
,1-11 2 ..
- J6I
TABLE XXII.
Showing the Value of £100 Policy on a Single Life, at the end of any
number of years (not exceeding 48) from the date of the Insurance,
according to the Northampton Table, at 3 per Cent.
Age
when
1 Year.
4 Years.
5 Years.
6 Years.
Age
2 Years.
3 Years.
when
Assured.
1
Assured.
14
1.0305
2.0934
3.1353
4.1187
5.0400
5.9134
14
15
1.0739
2.1267
3.1204
4.0513
4.9337
5.7454
15
16
1.0642
2.0687
3.0094
3.9017
4.7222
5.5034
16
17
1.0153
1.9664
2.8680
3.6973
4.4870
5.2911
17
18
.9609
1.8718
2.7096
3.5073
4.3196
5.1470
18
19
.9197
1.7657
2.5711
3.3913
4.2267
5.0777
19
20
.8538
1.6667
2.4946
3.3377
4.1966
5.0717
20
21
.8200
1.6549
2.5053
3.3716
4.2542
5.1533
21
22
.8418
1.6993
2.5727
3.4625
4.3692
5.2923
22
23
.8647
1.7455
2.6429
3.5573
4.4891
5.4389
23
24
.8885
1.7937
2.7161
3.6560
4.6141
5.5909
24
25
.9133
1.8440
2.7923
3.7590
4.7445
5.7494
25
26
.9392
1.8963
2.8719
3.8665
4.8806
5.9148
26
27
.9662
1.9511
2.9551
3.9788
5.0228
6.0877
27
28
.9945
2.0083
3.0420
4.0962
5.1715
6.2686
28
29
1.0240
2.0681
3.1329
4.2190
5.3271
6.4579
29
30
1.0549
2.1307
3.2280
4.3476
5.4901
6.6562
30
31
1.0873
2.1963
3.3278
4.4825
5.6610
6.8642
31
32
1.1212
2.2652
3.4325
4.6240
5.8404
7.0826
32
33
1.1569
2.3375
3.5425
4.7727
6.0290
7.3122
33
34
1.1944
2.4135
3.6581
4.9291
6.2273
7-5537
34
35
1.2339
2.4935
3.7798
5.0937
6.4362
7.7823
35
36
1.2754
2.5778
3.9081
5.2673
6.6303
7-9957
36
37
1.3192
2.6667
4.0435
5.4240
6-8071
8.1912
37
38
1.3655
2.7607
4.1597
5.5613
6.9640
8.3938
38
39
1.4145
2.8329
4.2538
5.6760
7-1250
8.6034
39
40
1.4387
2.8801
4.3226
5.7930
7-2920
8-8206
40
41
1.4624
2.9260
4.4178
5.9388
7-4896
9.0712
41
42
1.4853
2.9993
4.5428
6.1166
7-7217
9.3590
42
43
1.5368
3.1036
4.7011
6.3304
7-9924
9-6880
43
44
1.5912
3.2137
4.8684
6.5563
8.2784
10.0042
44
45
1.6487
3.3302
5.0454
6.7953
8.5490
10.2722
45
46
1.7096
3.4536
5.2328
7-0160
8-7680
10.5160
46
47
1.7743
3.5844
5.3986
7.1811
8-9595
10.7642
47
48
1.8429
3.6898
5.5046
7.3150
9.1524
11.0166
48
49
1.8816
3.7305
5.5749
7.4467
9.3460
11.2723
49
50
1.8843
3.7641
5.6718
7.6074
9.5707
11.5615
50
51
1.9159
3.8603
5.8331
7.8341
9.8631
11.9195
51
52
1.9824
3.9937
6.0338
8.1024
10.1990
12.3230
52
53
2.0520
4.1334
6.2438
8.3828
10.5497
12.7439
53
54
2.1250
4.2796
6.4634
8.6758
10.9158
13.1825
54
55
2.2014
4.4326
6.6930
8.9817
11.2976
13.6391
55
56
2.2815
4.5927
6.9330
9.3009
11.6951
14.1136
56
57
2.3653
4.7601
7-1833
9.6335
12.1084
14.6533
57
58
2.4529
4.9348
7.4443
9.9792
12.5857
15.2186
58
59
2.5444
5.1169
7-7155
10.3876
13.0867
15.8615
59
60
2.6397
5.3062
8.0480
10.8176
13.6647
16.5406
60
61
2.7387
5.5549
8.3996
11.3240
14.2778
17-2573
61
62
2.8955
5.8203
8.8270
11.8640
14.9273 18.0118
62
TABLE XXII.
Bft»frimj tbC \ alur of t'liMl Polioi OH • BlSgfa lifi , tl Ihc nul ..1 ;ui\
nuini.ti ■>!" rean (not exceeding 18 IroMtM 'lit- of the Ims
onling lo the NertlnUiptoo Table, .u :i pec Ceot
•kill
i
B 1 1 ar-.
li r«M
AM.rc.l.
6.7167
II
II
7 1816
9.0537
I.".
6.6182
7.3052
8.1068
9.7552
15
i<;
7.1092
; 9344
8.7755
9.6322
10.5053
it;
17
6.1100
6.9443
7-7943
8.6601
9 5427
16 lu-
17
l-
5.9698
6 8485
7.7233
8.6140
9.5236
10.4501
18
1!)
5.9448
7.7283
8.6458
;*.;.M.i
10.5351
19
80
;».!)(;:; 1
6.8717
B.7420
9.7046
10.6864
20
•_M
.
7.9561
8.9271
9.9173
10.9273
21
9Q
7.1951
B.1741
9.1726
10.1910
11.2300
_'•'
i"i
6.4072
7.3945
8.401 1
9 1286
10.4763
1 1 .."> J.V.
83
•_»<
» ; . ."v ^ ♦ ; ->
7.6025
B.6384
9.6954
10.7740
11.8749
24
•_>:.
6.7741
7.8194
B.8859
9.9741
11.0849
1 •_».•_' 189
•_'.-.
86
8.0460
14.144.1
10.2654
11.4098
12.5785
:.'»;
87
71 71-'
8.2829
l».414t;
10.5699
11.7497
12.9548
an
-i
•_•-
9.697^
L0.8887
18.1055
13.3488
88
7.6120
8.7904
9.9936
11.2227
12.4784
13.7376
9.0624
10.3042
11.6729
12.8451
14.1197
.«»
:n
9.3479
10.6302
LI .9160
L 3.2041
14.49 ■
31
aa
- 351 I
10.9477
L2.2500 13.5534
14.8816
aa
83
8.6232
9.9379
11.2550
L25731 13.9167
15.2865
34
10.2162
11.5498
12.9091
1 1.2949
15.7080
34
88
9.1300
10.4806
11.8564
13.2589
1 1.6890
16.1 175
86
:• 3622
10.7552
12.1753
13.6233
15.1000
16 6064
80
87
0.6023
L 1.0407
12.5074
14.0032
l 5.5291 i
17.0857
87
:<-
11.3378
12.8536
1 1.3998
15.9773
17.5583
88
10.1103
11.6471
13.2147
1 ) g] 16
16.4166
17 :>:»l^
89
4<»
10.3791
11.9695
13.5918
15.2177
16.8152
1- (090
10
41
10.6845
12.3305
13.9801
15 6009
17-2180
41
12
11.0294
12.7035
1 I 3484
15.9894
17.6548
19 3445
18
4:*
11.3873
13.0570
I » 7228
16.4133
18.1285
».f
44
11.7IHM)
13.3917
15.1086
18.6175
20 1091
it
Ifi
11.9914
13.7360
15 .""''.I
17.:i"Ut;
19.1221
i:.
i»;
12 2899
1 1.0897
15.9153
17.7663
19.6424
21 ."-» .1
Ifl
17
12.5954
14.4527
16.3359
1- 2447
20.1784
17
18
12.9075
1 » 8247
16 :>■:■■>
18 7366
20.72914
£2 746*
M
i.'
17 2109
19.2416
21 2964
i.'
10
13.5792
15 6232
19.7871
21 9045
24 "i ...
r.ii
:»i
1 I 0028
16.1122
18.2466
20 1047
22.5846
Jl 8261
:,i
:>■_*
1 i 1736
16 6497
1- 84914
21 0724
23.3577
88
:».i
1 » 9840
17-2087
21 8077
24 1628
26 5.840
88
:.i
15 1743
17 7892
20.1695
225740
25 0459
:.i
1i;.imh:i
18 i 164
28 U'JUi
:,.;
16.6004
19.1124
21.6948
;.<;
.-.;
17.2239
87
88
17.9253
20.65142
23.4168
26 19
31 7785
;,:»
i- »;•;»_'
21.4912
24 3377
27 1977 :«».ihl«»
:»;•
.•„,
19 1114
- .71
31.1719
..1 M-.|-
80
•;i
20.2573
23.2715
26 291 »
214 3058
81
aa
21.1109
J 4 2158
27.3151
30.3934
68
TABLE XXII.
Showing the Value of £100 Policy on a Single Life, at the end of any
number of years (not exceeding 48) from the date of the Insurance,
according to the Northampton Table, at 3 per Cent.
Age
when
Assured.
13 Years.
14 Years.
15 Years.
16 Years.
17 Years.
1 8 Years. ■
Age
when
Assured
14
11.5239
12.3788
13.2501
14.1384
15.0442
15.9679
14
15
11.4664
12.3468
13.2444
14.1596
15.0929
16.0449
15
1(5
11.3953
12.3026
13.2277
14.1712
15.1335
16.1153
16
17
11.3593
12.2944
13.2480
14.2207
15.2131
16.2258
17
18
11.3948
12.3582
13.3408
14.3434
15.3665
16.4107
18
19
11.5079
12.5001
13.5123
14.5454
15.5997
16.6762
19
20
11.6878
12.7095
13.7522
14.8163
15.9028
17.0122
20
21
11.9578
13 0094
14.0827
15.1786
16.2975
17.4405
21
22
12.2902
13.3724
14.4773
15.6055
16.7579
17.9354
22
23
12.6369
13.7512
14.8890
16.0512
17.2386
18.4294
23
24
12.9989
14.1466
15.3190
16.5168
17-7179
18.9212
24
25
13.3770
14.5598
15.7684
16.9802
18.1943
19.4094
25
26
13.7723
14.9920
16.2150
17.4403
18.6665
19.9165
26
27
14.1860
15.4206
16.6575
17.8954
19.1572
20.4436
27
28
14.5955
15.8444
17-0944
18.3685
19.6674
20.9919
28
29
14.9991
16.2616
17-5485
18.8605
20.1983
21.5626
29
30
15.3953
16.6955
18.0210
19.3727
20.7511
22.1572
30
31
15.8074
17.1471
18.5131
19.9062
21.3273
22.7772
31
32
16.2363
17.6173
19.0258
20.4625
21.9283
23.3973
32
33
16.6832
18.1076
19.5606
21.0430
22.5287
23.9884
33
34
17.1491
18.6191
20.1188
21.6219
23.0987
24.5721
34
35
17-6353
19.1532
20.6744
22.1691
23.6603
25.1736
35
36
18.1432
19.6835
21.1968
22.7066
24.2389
25.7935
36
37
18.6459
20.1788
21.7081
23.2601
24.8349
26.4321
37
38
19.1117
20.6614
22.2342
23.8300
25.4486
27.0898
38
39
19.5631
21.1576
22.7755
24.4165
26.0804
27.7668
39
40
20.0264
21.6675
23.3320
25.0198
26.7304
28.4634
40
41
20.5240
22.2128
23.9253
25.6609
27.4192
29.1995
41
42
21.0584
22.7963
24.5576
26.3420
28.1487
29.9769
42
43
21.6322
23.4202
25.2315
270654
28.9212
30.7975
43
44
22.2249
24.0645
25.9271
27-8118
29.7173
31.6422
44
45
22.8366
24.7293
26.6445
28.5809
30.53(!9
32.5483
45
46
23.4675
25.4148
27-3836
29.3724
31.4174
33.4831
46
47
24.1175
26.1206
28.1440
30.2245
32.3261
34.4867
47
48
24.7861
26.8460
28.9642
31.1037
33.3033
35.5250
48
49
25.4725
27.6305
29.8102
32.0511
34.3145
36.5975
49
50
26.2426
28.4642
30.7480
33.0548
35.3816
37.7245
50
51
27.0904
29.4181
31.7691
34.1407
36.5286
38.9277
51
52
28.0394
30.4364
32.8542
35.2887
37.7348
40.1854
52
53
29.0295
31.4962
33.9800
36.4755
38.9757
41.4713
53
54
30.0610
32.5969
35.1446
37.6972
40.2452
42.7758
54
55
31.1335 33.7366
36.3446
38.9478
41.5334
44.0839
55
56
32.2450 34.9117
37-5736
40.2173
42.8253
45.3727
56
57
33.3921 36.1161
38.8216
41.4904
44.0973
46.6072
57
58
34.5685 37-3395
40.0730
42.7431
45.3138
47.7329
54
59
35.7639 38.5661
41.3033
43.9386
46.4186
48.8920
59
60
36.9622 39.7709
42.4750
45.0197
47.5576
50.1502
60
61
38.1379 40.9153
43.5291
46.1358
48.7987
51.6132
61
62
39.2516 41.9389
44.6190
47.3569
50.2507
53.1478
62
TABLE XXII.
Sfcpriag ilir \ .iluc ol CltMl Policj no .1 Siqgk) Life, it tl»< , i,,| ,,| an)
DUluhcr dI' \<ar> I nut . \. . . .In a I- Ii.hii the date "I td, [qsqi i
according i<> the NFortJianiptoo tabic, *l .'i pej Cent
A,.
>%b*n
11
15
hi
i;
18
l:»
■_'.»
J I
m
.'*
m
m
:u>
M
.{•_'
m
m
Ml
.«;
BJ
•i-
40
n
-»•-'
§8
44
i:,
t»;
»;
i-
:>•_'
63
:.i
;.<;
..;
..-
:,:»
00
til
12
» Vmrii.
2 I \ . ... ^. 22 Yean 23 Yean.
hi :>|<H
i; Hi.;.:
17 LI73
i 7.2594
174/ 69
17-7754
1- I 154
IJM16)
r.< t ;_••_'_■
20.1*254
29 0479
21.1908
21.7553
22.3 127
22.9543
23.5917
24.2392
24.8407
25.4448
_•«; .Q674
26.7991
27-3704
28 0516
28.7532
29.4753
30.2181
31.9009
31.8253
32.6927
33.6215
34.5798
35.6967
36 6690
37-7659
3tf <»\.;
«i p;^5
-II ..HI I
42.6316
43 y500
15.2721
I -v :»»,:»•_'
59.1 150
51 1186
54.4310
56 yi26
17.8714
18.0074
I- 1399
18.3147
I tj 5655
1- -.»-_'
19.3032
19.7793
208161
21.3530
2J.9106
22. 4:hc_'
23.0030
24.3742
25.0295
25.6579
26 2s07
26.9227
27-5845
28.2665
28 0692
29.6931
30.4383
31.2052
31.9036
32 6323
33.6925
34.6416
35.6298
36 6684
377517
38 £701
10 0224
41.2960
12.4369
13.7310
15 0612
16 3951
17.7106
I
51.3248
52.610.1
55.633!'
57 1901
[9.0J90
19.1840
19.3923
19.6775
20.0454
20 1642
20.0524
21.4827
22.6044
23.198]
23.8153
24 1575
25 1262
25.7972
26 1421
27.742J
28.4223
29.1233
29 8457
30.5898
31.3560
32.1 146
32.9556
33 7*g$
34.6621
35.6124
36.6102
37.6762
39 0154
II 0865
13 6200
ll 7 'In
16 1136
»7 1578
I- 7- Hi
50 0582
51.2312
53.7310
55 2152
20.0513
20.2501
20.4930
21.1957
21.627:1
22 1265
22.6894
23.2736
24.51J1
25.1/170
25.8497
26.5351
27-1953
27-85] 1
28^277
29.2248
30.6836
31 1462
32.2315
33.0397
:;:; -711
34 7254
35.6022
36 5540
375517
39 7522
10.9059
■
43.3134
II 5609
15 8298
17 1291
18.4644
VJ 7989
51 ii-:."
52 2675
.... I --'l
54 7867
56 2745
20 3757
21.1060
21 339]
21.6176
21.9529
22.7914
23.91 15
24-5387
25.1818
25.8505
26.5461
27.2449
27.9194
29-2817
30-7288
31 1855
32.2650
-
347435
35.6167
36.5131
37- 1668
38.4650
395454
11.8462
1 1 2826
15 :.ll".
I- 1240
49. 1355
50.7607
52 9527
53 2470
54 1708
572721
60.3122
»i 1 71-"'/
A,.
24 Yeai .
[ «krn
UimtL
21.9J96
14
22 1839
15
22.4517
[§
22.7453
17
23.0943
16
23.5015
II
23.9780
•jo
24.5434
21
23 1739
■_>•_<
a
26.5093
24
27.2170
28
u'7.!i_,-J
96
28.6158
-'.
29.3004
28
30.0058
29
30.7328
90
31.4819
:u
32
:u
34 7094
36
35.5758
90
36.4661
37.3800
88
38.3513
39.3503
in
in 1295
ii
11.5592
a
a
■
ii
15.2012
15
16
17-7715
17
IO.0SOU
IS
: |
51 6885
80
52 971 1
51
54 1738
59
55.4051
:,..
56.?217
-.1
58 2127
59 "603
61 2509
81
66 ir7«i
TABLE XXII.
Showing the Value of £100 Policy on a Single Life, at the end of any
number of years (not exceeding 48) from the date of the Insurance,
according to the Northampton Table, at 3 per Cent.
Age
when
Assured.
25 Years.
26 Years.
27 Years. 28 Years.
29 Years.
30 Years
A*«
when
Assured.
14
22.9858
24.0751
25.1675 26.2618
27.3571
28.4735
14
15
23.2846
24.3883
25.4941 j 26.6007
27.7287
28.8787
15
16
23.5674
24.6852
25.8039 1 26.9441
28.1066
29.2919
16
17
23.8750
25.0057
26.1582 27.3333
28.5313
29.7532
17
18
24.2360
25.4009
26.5880
27.7983
29.0327
30.2919
18
19
24.6772
25.8757
27.0978
28.3442
29.6155
30.9127
19
20
25.1876
26.4211
27.6790
28.9622
30.2714
31.5834
20
21
25.7875
27.0563 ; 28.3505
29.6709
30.9943
32.2945
21
22
26.4532
27.7581
29.0895 30.4237
31.7347
33.0426
22
23
27.1448
28.4874
29.8330 31.1551
32.4742
33.8128
23
24
27.8637
29.2210
30.5507 j 31.8852
33.2355
34.6055
24
25
28.5865
29.9321
31.2745 J 32.6369
34.0192
35.4213
25
26
29.2863
30.6411
32.0160 33.4111
34.8261
36.2608
26
27
29.9835
31.3715
32.7797 34.2081
35.6565
37.1244
27
28
30.7019
32.1239
33.5663 35.0287
36.5110
38.0127
28
29
31.4421 i 32.8989
34.3761 35.8733
37.3901
38.9258
29
30
32.2047 ! 33.6972
35.2098 36.7423
38.2939
39.8640
30
31
32.9903 1 34.5191
36.0679 37.6361
39.2228
40.8272
31
32
33.7993
35.3651
36.9505 ; 38.5547
40.1767
41.8152
32
33
34.6322
36.2356
37.8580 ! 39.4984
41.1554
42.8592
33
34
35.4892
37.1306
38.7902 40.4666
42.1904
43.9316
34
35
36.3707
38.0503
39.7470 41.4915
43.2538
45.0655
35
36
37.2764
38.9942
40.7606
42.5449
44.3792
46.2320
36
37
38.2061
39.9953
41.8027
43.6607
45.5374
47.4303
37
38
39.1932
41.0246
42.9075
44.8093
46.7275
48.6590
38
39
40.2082
42.1171
44.0452
45.9900
47.9483
49.9158
39
40
41.2866
43.2423
45.2151
47.2014
49.1972
51.1967
40
41
42.4138
44.4153
46.4307
48.4556
50.4843
52.5093
41
42
43.5904
45.6357
47.6906
49.7494
51.8045
53.8456
42
43
44.8160
46.9019
48.9918
51.0778
53.1497
55.1934
43
44
46.0732
48.1956
50.3142
52.4184
54.4941
56.5217
44
45
47-3580
49.5108
51.6491
53.7583
55.8186
57.8023
45
46
48.6643
50.8385
52.9831
55.0780
57.0949
58.9929
46
47
49.9834
52.1653
54.2966
56.3486
58.2796
! 60.2054
47
48
51.3013
53.4711
55.5601
57.5260
59.4866
61.4895
48
49
52.5975
54.7258
56.7286
58.7260
60.7665
62.9230
49
50
53.8575
55.8987
57.9345
60.0141
62.2121
64.4126
50
51
55.0518
57.1260
59.2462
61.4864
63.7292
65.8696
51
52
58.2891
58.4501
60.7341
63.0207
65.2029
67-2910
52
53
57.609S
59.9399
62.2728
64.4992
66.6295
68.5790
53
54
59.1007
61.4824
63.7554
65.9304
67.9207
69.4395
54
55
60:0462
62.9085
65.1907
67.2243
68.7760
70.2048
55
56
62.1350
64.4071
66.4805
68.0732
69.5342
70.8664
56
57
63.5761
65.7040
67.3278
68.8229
70.1862
71.4733
57
58
64.8732
66.5363
68.0676
69.4640
70.7823
71.9038
58
59
65.6948
67.2646
68.6961
70.0476
711973
72.7534
59
60
60.4100
67.8788
69.2656
70.4454
72.0421
74.0684
60
61
67.0079
68.4328
69.6440
71.2841
73.3653
76.1644
61
62
67.5434
68.7893
70.4755
72.6153
75.4933
78.5384
62
TABLE XXII.
shmnu- the \ alii.- (>i £108 Pobcj "ii ■ Single Life, »i the end i I
number ol years not exeeediai 48 from tbi date ol x I . • foaim
aoot i .iiiiu i" the Northampton Fable, at ■'* p ■ Cent.
1*
■fMa
111 . i - n ^' ■"- | 33 Veara.1
S4Y< i -. .'•< 1 ■• M Vt»r».
»b.n
1 J
31.9557
A.iurrd
J:»»;il6
721
33.1630 34.349/
11
Ifl
; ,ii.n.-i 13
31.2472 32 1670
33.711*; 34.9589 36.1844
k;
30.5006
31.7339 •'•-
34.2528
35 1916 36.7270
i«;
17
32.2712 33.5456
34.7977
36.0470 37.314/
17
18
.> 1 5 7 ' '• ■
32.8640 34.1290
35.3910
36.6718 37.9713
i-
Ifl
32.2126
33.4899 34.7642
36.0574
37.3695 38.7004
£j
n
34.1586 33
36.7882
38.1314 39.4934
91
33.5917
34.9081 36.2438
37.5986
- 9723 10.3646
ji
aa
34.3700
35.7167 37.0827
38.4678
39.8716 11.2938
22
-
35.1709
36.5485 37.9454
39.3611
■ ! 42.2476
23
24
35.9061
37.4ml ••-
10.2790
41.7438 1 ■ -- '
U
H
38.2838 39.7436
41.2216
12.7171 14.2292
23
-
377130
... 1882 W.6798
12.1891
43.7152 (5.2567
26
87
38.61 16
10.1174 41.6410
43.1815
44.7377 46.3377
87
88
39.5332
41.0717 12.6272
14.1985
15.8142 47.4463
28
81
10 1798
42.0509 43.6380
45.2699
16.9184 18.6131
88
4 1. 47. 14
43.0549 14.7037
46.3692
18.0813 19.8109
;u
42.4478
44.1142
47.5279
49.2758 51.0388
88
43.4999
45.2016
it;.:/.-, ii
18.7182
50.5006 52.2953
32
88
14.5803
48.1366
49.9393
51J544 53.5780
:<3
34
15.7*216
47.5297
19.3533
51.1897
53.0347 "':
34
35
18.7411
50.5996
52.4669
54.3377 56.2051
38
88
IvllMI^
49.9825
:.l 8731
53.7673
55.6580 57-5359
88
37
49.3363
51.2514
53.1700
55 0852
56 :>-7l 58.8637
87
8B
"
52.5440
."■4 4-47
56.4123
58.3138 60.1711
-
8|
51.8870
53 8546
:,:. 8089
.">7.73i>7
59.6197 61.4327
in
53.1925
55. 17 1-
57.1303
59.0404
60.8793 62
in
41
51 5204
.'it;. .-(ti4.-,
58 u::<
(;<».:,.
62.0641 63.8153
41
4 i
57-8257
59.7192
61.5011 63.2781 65.0937
[■:
4.1
67-1898
59.1119
60.9207
62.7246
64.5673 66.5151
O
11
58 17 .7
60.3 [07 62 1 128 64 mil
125 67.9729
u
II
59.6690
61.5307 63.4325
65 1426
67.4550 69.3756
g
Ifl
60.8858
62.8195 64
66.9094
M
47
62.1728
64.2521 0
68.3206
70.2216 71.9612
17
1-
<\:i.f,<
65 7258 67-7483
69.6837
71 1548 72.8063
18
88
i;:>. ii 822 57 i 128
88.11 15
70 9188
1 ' 1
18
88
66.5127 '-
70 3612
71 7644
■ 1 74.2347
M
:.i
67-9177
69.7919
71 2222
72.5390 73.7399 7 1
:,1
Ifl
60 2019
7U »u,(Hi
. ! .
.VJ
H
,
J] Pil
72.6S54
- 17
:.»
70.8380
72.1132
73.3171
74.3414
:,i
;.:>
71 5078
72J378
73 7843
.
-" 79.4154
88
72.1242
73.1942
: 5674
87
72.5684
71 0504
81.1371 B4 1620
88
73.4218
-
83 77-
:.:.
74.7282
il 8U 1943
-3 3710
m lov
fl8
;
7'.'.«;77-J -
tW 161»2 90 7213
81
79.1262
1742 -"• 1
B0 V
81
88
-
-i 9470
:*> 201 1
88
I. 2
TABLE XXII.
Showing the Value of £100 Policy on a Single Life, at the end of any
number of years (not exceeding 48) from the date of the Insurance,
according to the Northampton Table, at 3 per Cent.
Ape
when
Assured.
37 Years.
38 Years.
39 Years. 40 Years.
1
41 Years
42 Years
Age
when
Assured.
14
36.8421
38.0521
39.2802 40.5261 ! 41.7399
43.0714
14
15
37.4071
38.6479
39.9069 41.1838 42.4786
43.7909
15
16
37.9819
39.2545
40.5453 41.8542 43.1807
44.5246
16
17
38.6011
39.9057
41.2287 42.5695 , 43.9279 45.3033
17
18
39.2S94
40.6259
41.9805 43.3528 ' 44.7423 46.1482
18
19
40.0499
41.41/6
42.8032 44.2062 45.6258 47.0611
19
20
40.8738
42.2723
43.6883 45.1210 46.5697 ! 48.0330
20
21
41.7752
43.2033
44.6485 46.1096 47.5855 49.1032
21
22
42.7338
44.1908
45.6641 47.1522 48.0824 50.2281
22
23
43.7170
45.2027
46.7035 48.2467 49.8055 51.4080
23
24
44.7248
46.2386
47.7953 49.3677 50.9842 S 52.6169
24
25
45.7567
47.3273
48.9138 50.5447 52.1921 53.8538
25
26
46.8418
48.4429
50.0889 .51.7514 53.4284
55.1170
26
27
47.9541
49.6157
51.2940 52.9869 54.6914
56.4041
27
28
49.1214
50.8188
52.5282 54.2494 55.9787
57 7113
28
29
50.3248
52.0513
53.7898 55.5366 1 57.28(36
59.0334
29
30
51.5553
53.3118
55.0765 56.8446 58.6095
60.3624
30
31
52.8U0
54.5976
56.3845 58.1682 59.9398
61.6874
31
32
54.0985
55.9051
57-7084 59.4995 61.2662
62.9921
32
33
55.4051
57.2288
59.0402 60.8270 j 62.5724
64.2528
33
34
56.7282
58.560S
60.3685 62.1343 | 63.8344
65.4343
34
35
58.0599
59.8894
61.6766 63.3972 65.0164
66.6313
35
36
59.3884
61.1978
62.9400 04.5794 06.2144
67.8847
36
37
60.6966
62.4612
64.1218 65.7779 67.4698
69.2580
37
38
61.9594
63.6422
6.1.3204 67.0349 68.8470
70.6612
38
39
63.1388
64.8403
66.5785 68.4157 70.2550
72.0103
39
40
64.3359
66.0990
67.9625 69.8282 71.6087 j 73.3124
40
41
65.6041
67.4949
69.3878 71.1943 72.9228 74.5047
41
42
67.0124
68.9335
70.7668 72.5210 74.1263
75.3513
42
43
68.4651
70.3260
72.1067 73.7362 74.9797
76.1246
43
44
69.8629
71.6713
73.3263 74.5892 75.7519
76.8123
44
45
71.2132
72.8950
74.1783 75.3599 76.4374 77.4546
45
46
72.4406
73.7454
74.9468 76.0424 77.0767 , 77.9566
46
47
73.2887
74.5110
75.6257 76.6779 77.5732 78.7848
47
48
74 0506
75.1854
76.2567 77.1681 78.4016 79.9670
48
49
74.7195
75.8109
76.7394 77.9961 79.5909 81.7358
49
50
75.3470
76.2934
77.5742 79.1995 81.3855 83.6985
50
51
75.8381
77.1435
78.8000 81.0280 83.3854
86.0503
51
52
76.6970
78.3859
80.6574 83.0609 85.7778
88.1191
52
53
77.948S
80.2662
82.7183 , 85.4902 87.8788
90.1947
53
54
79.8528
82.3562
85.1862 87.6248 89.9893
91.9445
54
55
81.9732
84.8646
87.3562 89.7719 91.7696
55
56
84.5239
87.0715
89.5417 | 91.5843
56
57
86.7697
89.2975
91.3878 I
57
58
89.0382
91.1792
|
58
59
90.9574
59
TABLE XXII.
Ohowing ii>> Value "i t"liH> Policj "ii .1 Single Life, ii the ead of ■■]
uuiniiri ii yean pot exceeding 18 from the date of the Ihhmn,
aeoordlog t" ill- Northampton Table, .it 8 pa Coal
A*.
• km
.
K.. -
It
41. .171 1_*
15
45.1204
16
»."» .885 4
17
16.6050
18
IT 5698
is
18JH in
•JO
1 1 ^ . u 1 1 ^ i .ii -. .
88
88
M
J.".
M
87
88
31
3-.'
S3
34
8f
96
87
38
SB
40
4T
IS
43
44
18
41;
47
u
4:»
M
:,i
. 68
88
50.636:
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53.0266
54.2638
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56.8135
58.1 198
58 1408
60.7683
62.0015
63.3044
64.6536
65.8342
670298
68.2809
69.6500
71.0488
72.3925
73.6899
74.3715
75.7118
78 1798
77.1687
77.8134
78.3201
79.1 175
80.3224
84 0O62
86.3131
88.3467
90.3891
92.1098
17 2623
18.1020
49.0057
50 0018
51.0576
52.2122
53.4821
5 » 6592
55.9220
572079
58 5133
9.8326
81.1585
62.4797
83.7806
65.0379
66.2173
67.4113
68.6598
70.0245
71.4176
72.7567
74 0492
75.2269
76.0612
76.8232
77 6078
78 1543
78 6650
79.4913
BO 6588
82.3904
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86 5707
88 5662
90 5732
17.0188
17.8287
1- (1544
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50 1822
51.5078
52.6202
53.8040
55.0409
56.3032
57.5888
58 8922
60.8099
61.5337
62.8529
64.1515
65.4067
66.5846
87-7767
69.0224
70.3825
71-7701
73.1042
74.3915
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77.1666
78 1788
79.8177
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86 3182
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92.41 u
18.3663
49.2058
50.0606
50 9850
51.9737
53 0559
64.1884
55.4096
66.6711
57.9549
59.8574
60.5733
61.8860
63.8118
65.7610
66.9371
68.1270
69.3697
70.7252
72.1073
73.4360
74.7181
7o.8S7ti
76 7221
77.4798
78.1556
78.7935
79.3048
80.1878
81.2804
82.9769
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87.0520
90 9248
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51.5066
68.4613
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66.1015
67 2756
68.4632
69.7029
71.0534
72.4300
73.7533
75.0301
76.1951
770292
77 7873
78.4646
79 0986
79.6076
B0.4230
81.5681
83.2477
85.0921
87-2734
89.1835
81.0921
51.1081
52.0274
52.9672
55.0557
56.1968
58.6507
59 9497
61.2615
62.5785
63.8901
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66.4290
67.6011
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70.0223
71-3682
72.7391
74.0570
75.3283
76 1888
77 3222
78.0803
78.7586
79.3943
79.9010
-ii 7093
81.8418
83.5052
85.3293
87.4832
91 -'."'Hi
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.■{1
86
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87
38
38
40
41
18
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IS
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17
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60
si
POSTSCRIPT.
The premiums charged for Survivorship Assurances, by
most of the Offices which ground their calculations upon the
Northampton rate of mortality, have been deduced by means
of an approximating Formula, which in some cases produces
results widely different from the correct premiums given by
Table xxi. The Law Life Assurance has, however, adopted
the correct premiums, and it is no credit to any Office now to
adhere to a method of computation which could only be tolerated
in the infancy of the science, or when the want of Tables
rendered it necessary to employ such loose approximations.
ERRATA.
Page xxi. line 8, for last survivor of the joint lives, read last survivor of the
given lives,
Page xxxi. line 4, for former read latter.
uimvcivoii. i yjr K^ryt^ir^jr^sixx i^j.uivri.xv 1
This book is DUE on the last date stamped below.
Fin«
■100m-12,'46 (A2012sl6)4120
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